1. Four years ago, the ratio of the ages of A and B was 9 : 13. Eight years hence, the ratio of the ages of A and B will be 3 : 4. What will be the ratio of their ages 4 years hence?
चार वर्ष पहले, A और B की आयु का अनुपात 9 : 13 था। अब से आठ वर्ष के बाद, A और B की आयु का अनुपात 3 : 4 होगा। अब से 4 वर्ष के बाद उनकी आयु का अनुपात क्या होगा?
Option “A” is correct.
Given:
Four year ago the ratio of age of A and B is 9 : 13
Calculation:
⇒ (9x + 4 + 8)/(13x + 4 + 8) = 3/4
⇒ 36x + 48 = 39x + 36
⇒ x = 4
⇒ Present age of A = 9 × 4 + 4 = 40
⇒ Present age of B = 13 × 4 + 4 = 56
⇒ The ratio after 4 years = (40 + 4)/(56 + 4) = 44/60 = 11/15
∴ The required result will be 11/15.
2. The ratio of the present ages of Prabhu and Ramesh is 4 : 7, respectively. After 5 years, the ratio will change to 5 : 8. Find the present age of Prabhu.
प्रभु और रमेश की वर्तमान आयु का अनुपात क्रमशः 4 : 7 है। 5 वर्षों के बाद, अनुपात 5 : 8 में बदल जाएगा। प्रभु की वर्तमान आयु ज्ञात कीजिए।
Option “C” is correct.
Given:
The ratio of the present ages of Prabhu and Ramesh is 4 : 7
After 5 years, the ratio will change to 5 : 8.
Calculation:
The age of Prabhu is 4x
And age of Ramesh is 7x
According to the question
⇒ (4x + 5)/(7x + 5) = 5/8
⇒ 32x + 40 = 35x + 25
⇒ 3x = 15
⇒ x = 5
Age of Prabhu is 4x
⇒ 4 × 5 = 20 years
∴ The present age of Prabhu is 20 years.
3. 2 years ago, the average age of a family of 5 members was 18 years. After a new member is added to the family, the average age of the family is still the same. The present age of the newly added member, in years, is:
2 वर्ष पहले, 5 सदस्यों के एक परिवार की औसत आयु 18 वर्ष थी। परिवार में एक नया सदस्य जोड़ने के बाद, परिवार की औसत आयु अभी भी समान है। नए जोड़े गए सदस्य की वर्तमान आयु, वर्षों में है:
Option “A” is correct.
Given:
The average age of a family of 5 members 2 years ago was 18 years.
The average after a new member add to the family is 18 years.
Concept Used:
The average = Sum of the all numbers/Number of the numbers
Calculation:
The average age of a family of 5 members 2 years ago was 18 years.
The sum of age of all family member 2 years ago = 18 × 5 = 90
The sum of age of all family member at present = 90 + 2 × 5 = 100
Let the age of new member be x.
The sum of age of a family of 6 member = 6 × 18 = 108
⇒ 100 + x = 108
⇒ x = 8 years
∴ The age of new member of family is 8 years.
4. The present ages of A and B are in the ratio 3 : 4. Twelve years ago, their ages were in the ratio 2 : 3. The sum of the present ages of A and B (in years) is:
A और B की वर्तमान आयु 3 : 4 के अनुपात में है। बारह वर्ष पहले, उनकी आयु 2 : 3 के अनुपात में थी। A और B की वर्तमान आयु का योग (वर्षों में) क्या है?
Option “C” is correct.
Given:
Present age ratio of A and B = 3 : 4
Ratio of age of A and B before 12 years = 2 : 3
Calculation:
Let the present age of A and B be 3x and 4x
⇒ (3x – 12)/(4x – 12) = 2/3
⇒ 3× (3x – 12) = 2× (4x -12)
⇒ 9x – 36 = 8x – 24
⇒ 9x – 8x = 36 – 24
⇒ x = 12
The total present age is 4x + 3x
⇒ 7x =7 × 12 = 84
∴ The total present age is 84years.
5. The total of the ages of four persons is 86 years. What was their average age 4 years ago?
चार व्यक्तियों की कुल आयु का योग 86 वर्ष है। 4 साल पहले उनकी औसत आयु क्या थी?
Option “C” is correct.
Given:
The total age of four persons is 86 years
Formula Used:
The average age of persons = Sum of ages of Persons/number of persons
Calculation:
According to question,
We have to find the average age of persons 4 years ago
Sum of ages of person 4 years ago = 86 – 4 × 4
⇒ 86 – 16
⇒ 70
Now, Average age of four persons = 70/4
⇒ 17.5
Hence, the average age of four persons 4 years ago was 17.5
6. The ratio of present ages (in years) of a father and son is 15 : 8. Six years ago, the ratio of their ages was 13 : 6 What is the father’s present age ?
एक पिता और पुत्र की वर्तमान आयु (वर्षों में) का अनुपात 15 : 8 है। छह वर्ष पूर्व, उनकी आयु का अनुपात 13 : 6 था। पिता की वर्तमान आयु क्या है?
Option “B” is correct.
Given:
The ratio of present ages (in years) of a father and son is 15 : 8. Six years ago.
And the ratio of their ages was 13 : 6.
Calculation:
Let the present age of father be 15x years.
And the present age of son be 8x years.
According to the question:
(15x – 6)/(8x – 6 ) = 13/6
⇒ 90x – 36 = 104x – 78
⇒ – 14x = – 42
⇒ x = 3
∴ The present age of father is 15x years = 15 × 3 = 45 years.
7.The average ages of Kishore, his wife and their child 6 years ago was 38 years and that of his wife and their child 8 years ago was 32 years. Find the present age of Kishore.
किशोर, उसकी पत्नी और उसके बच्चे की औसत आयु 6 वर्ष पहले 38 वर्ष थी और उसकी पत्नी और उसके बच्चे की औसत आयु 8 वर्ष पहले 32 वर्ष थी। किशोर की वर्तमान आयु ज्ञात कीजिए।
Option “B” is correct.
Given:
The average age of Kishore, his wife, and their child 6 years ago was 38 years
The average age of Kishore’s wife and their child 8 years ago was 32 years
Concept used:
Average =Sum of total observations/Total number of observations
Calculation:
Sum of ages of all three members 6 years ago = 38 × 3
⇒ 114 years
∴ Sum of ages of all three at present = 114 + (6 × 3)
⇒ 132 years
Also, from given data
Sum of ages of Kishore’s wife and child 8 years ago = 32 × 2
⇒ 64 years
∴ Sum of ages of wife and the child at present = 64 + (8 × 2)
⇒ 80years
∴ The present age of Kishore is 132 – 80 i.e 52 years
8. The sum of the presents age of a father and son is 52 years Four years hence, the son’s age will be 1/4 that of the father. What will be the ratio of the age of the son and father, 10 years from now?
एक पिता और पुत्र की वर्तमान आयु का योग 52 वर्ष है। चार वर्ष बाद, पुत्र की आयु पिता की आयतु की 1/4 होगी। अब से 10 वर्ष बाद पुत्र और पिता की आयु का अनुपात क्या होगा?
Option “B” is correct.
Given:
Father’s present age + Son’s present age = 52 years
Son’s age after 4 years = 1/4 × Father’s age after 4 years
Concept used:
Using the concept of the linear equation.
Calculation:
Let the present age of the son be x years.
And the present age of the father is (52 – x) years.
According to the question,
Son’s age after 4 years = 1/4 × Father’s age after 4 years
⇒ (x + 4) = 1/4 × (52 – x + 4)
⇒ (x + 4) × 4 = 56 – x
⇒ 4x + 16 = 56 – x
⇒ 5x = 40
⇒ x = 8 years
Son’s present age = 8 years
Father’s present age = 52 – 8
⇒ Father’s present age = 44 years
Required ratio = (Age of son after 10 years)/(Age of father after 10 years)
⇒ Required ratio = (8 + 10)/(44 + 10)
⇒ Required ratio = 18/54
⇒ Required ratio = 1/3
∴ The ratio of the age of the son and father, 10 years from now is 1 ∶ 3.
9. The ratio of a man’s age to his father’s age is 4 : 5, and the ratio of his age to his son’s age is 6 : 1. Four years ago these ratios were 11 : 14 and 11 : 1, respectively. The ratio of the age of the grandfather to that of the grandson 12 years from now will be:
एक व्यक्ति और उसके पिता की आयु का अनुपात 4 : 5 है, और उसकी आयु और उसके पुत्र की आयु का अनुपात 6 : 1 है। चार वर्ष पहले ये अनुपात क्रमशः 11 : 14 और 11 : 1 थे। 12 वर्ष बाद दादा की आयु और पोते की आयु का अनुपात होगा:
Option “C” is correct.
Given:
The ratio of a man’s age to his father’s age = 4 : 5
The ratio of his age to his son’s age = 6 : 1
Four years ago age ratio of man to his father = 11 : 14
Four years ago age ratio of man to his son = 11 : 1
Calculation:
The ratio of a man’s age to his father’s age = 4 : 5
Four years ago age ratio of man to his father = 11 : 14
According to the question
(4x – 4)/(5x – 4) = 11/14
⇒ 14 (4x – 4) = 11 (5x – 4)
⇒ 56x – 56 = 55x – 44
⇒ 56x – 55x = 56 – 44
⇒ x = 12
Present age of man = 4 × 12 = 48 years
Present age of father = 5 × 12 = 60 years
The ratio of age of man to his son’s age = 6y : y
6y = 48
⇒ y = 8
Present age of son = 8 years
12 years after, age of father will be = 60 + 12 = 72 years
12 years after, age of his son = 8 + 12 = 20 years
∴ 12 years after age ratio of man’ father to that of his son = 72 : 20 = 18 : 5
10. A family consists of two grandparents, three parents and four grandchildren. The average age of the grand parents is 65 years, that of the parents is 32 years and that of the grand children is 8 years. What is the average age of the family?
एक परिवार में दादा-दादी, तीन अभिभावक और चार बच्चे शामिल हैं। दादा-दादी की औसत आयु 65 वर्ष है, अभिभावक की औसत आयु 32 वर्ष है और बच्चों की औसत आयु 8 वर्ष है। परिवार की औसत आयु क्या है?
Given :
Family has two grand parents, three parents and four children
Average age of grand parents is 65 years
Average age of parents is 32 years
Average age of grand children is 8 years
Calculations :
Total age of two grand parents = 65 × 2 = 130 years
Total age of three parents = 32 × 3 = 96 years
Total age of grand children = 8 × 4 = 32 years
Total family members = 2 + 3 + 4 = 9
Total age of family members = 130 + 96 + 32 = 258 years
Average age of the family = (total age/total number of persons)
⇒ 258/9
⇒ 28(2/3)
∴ The average age of family members = 28(2/3) years
500 125 augmentin In another aspect, the present invention provides for a method of treating symptoms of atrophic vaginitis, wherein the method includes vaginally administering an effective amount of a tamoxifen citrate to a non hysterectomized or hysterectomized patient, wherein the sole active agent is tamoxifen and wherein the plasma of the patient is essentially free of tamoxifen metabolites
I do not even know the way I ended up right here, however I believed this
put up was great. I do not recognize who you are however definitely
you’re going to a famous blogger if you happen to are not
already. Cheers!
my website :: Nordvpn coupons inspiresensation (shorter.me)
Attractive section of content. I just stumbled upon your website and in accession capital to assert that I get actually enjoyed account your blog posts.
Anyway I will be subscribing to your augment and even I achievement you access consistently quickly.
Greetings from Idaho! I’m bored to death at work so I decided to check out your website on my iphone
during lunch break. I love the knowledge you provide here and can’t wait to take a look when I get home.
I’m surprised at how quick your blog loaded on my cell phone ..
I’m not even using WIFI, just 3G .. Anyhow, wonderful site!
Explore the ranked best online casinos of 2025. Compare bonuses, game selections, and trustworthiness of top platforms for secure and rewarding gameplaycasino slot machine.
Best culture
All the best
Exam ke liye bahut helpful ho Raha hai
500 125 augmentin In another aspect, the present invention provides for a method of treating symptoms of atrophic vaginitis, wherein the method includes vaginally administering an effective amount of a tamoxifen citrate to a non hysterectomized or hysterectomized patient, wherein the sole active agent is tamoxifen and wherein the plasma of the patient is essentially free of tamoxifen metabolites
маркетплейс аккаунтов магазин аккаунтов
купить аккаунт магазин аккаунтов
безопасная сделка аккаунтов перепродажа аккаунтов
заработок на аккаунтах услуги по продаже аккаунтов
покупка аккаунтов маркетплейс аккаунтов
продать аккаунт магазин аккаунтов
купить аккаунт с прокачкой профиль с подписчиками
биржа аккаунтов магазин аккаунтов
маркетплейс для реселлеров безопасная сделка аккаунтов
перепродажа аккаунтов заработок на аккаунтах
Social media account marketplace Account Trading Platform
Account marketplace Website for Selling Accounts
Accounts for Sale Account Selling Service
Gaming account marketplace Account Sale
Buy Pre-made Account Online Account Store
Account Market Find Accounts for Sale
Find Accounts for Sale Account Catalog
Sell Account Account Selling Service
Marketplace for Ready-Made Accounts Account Trading Platform
account buying service account trading
website for buying accounts account marketplace
account store buy and sell accounts
sell account account selling platform
guaranteed accounts accounts market
account purchase account acquisition
account trading website for buying accounts
account buying platform accounts for sale
account purchase find accounts for sale
account trading service account trading platform
account trading platform accounts marketplace
database of accounts for sale marketplace for ready-made accounts
secure account purchasing platform buy account
account store guaranteed accounts
I needed to thank you for this wonderful read!! I absolutely loved every little bit of it.
I’ve got you book-marked to look at new stuff you post…
Here is my blog post … Nordvpn coupons inspiresensation
accounts marketplace account market
account trading platform account trading service
I do not even know the way I ended up right here, however I believed this
put up was great. I do not recognize who you are however definitely
you’re going to a famous blogger if you happen to are not
already. Cheers!
my website :: Nordvpn coupons inspiresensation (shorter.me)
account store database of accounts for sale
sell pre-made account secure account sales
account buying platform find accounts for sale
account trading guaranteed accounts
Attractive section of content. I just stumbled upon your website and in accession capital to assert that I get actually enjoyed account your blog posts.
Anyway I will be subscribing to your augment and even I achievement you access consistently quickly.
Here is my web blog :: nordvpn coupons inspiresensation – http://tinyurl.com/287xqkjf,
sell pre-made account sell pre-made account
gaming account marketplace buy pre-made account
social media account marketplace online account store
buy account account market
find accounts for sale marketplace for ready-made accounts
buy and sell accounts account store
profitable account sales account catalog
Greetings from Idaho! I’m bored to death at work so I decided to check out your website on my iphone
during lunch break. I love the knowledge you provide here and can’t wait to take a look when I get home.
I’m surprised at how quick your blog loaded on my cell phone ..
I’m not even using WIFI, just 3G .. Anyhow, wonderful site!
Visit my webpage :: nordvpn coupons inspiresensation; http://7ee.ir/nordvpncouponsinspiresensation37972,
Explore the ranked best online casinos of 2025. Compare bonuses, game selections, and trustworthiness of top platforms for secure and rewarding gameplaycasino slot machine.
accounts market https://accounts-offer.org
accounts for sale https://accounts-marketplace.xyz/
account exchange service https://buy-best-accounts.org
sell accounts https://social-accounts-marketplaces.live/
350fairfax nordvpn coupons inspiresensation
This is my first time go to see at here and i am actually pleassant to read all at one place.
marketplace for ready-made accounts https://accounts-marketplace.live
account selling platform https://social-accounts-marketplace.xyz
accounts market https://buy-accounts.space
verified accounts for sale https://buy-accounts-shop.pro
account acquisition https://accounts-marketplace.art
account market https://social-accounts-marketplace.live
marketplace for ready-made accounts accounts marketplace
account selling platform accounts marketplace
accounts marketplace https://accounts-marketplace-best.pro
маркетплейс аккаунтов соцсетей https://akkaunty-na-prodazhu.pro/
магазин аккаунтов kupit-akkaunt.xyz
купить аккаунт rynok-akkauntov.top
маркетплейс аккаунтов https://akkaunt-magazin.online
площадка для продажи аккаунтов https://akkaunty-market.live
биржа аккаунтов https://kupit-akkaunty-market.xyz
купить аккаунт akkaunty-optom.live
продать аккаунт online-akkaunty-magazin.xyz
продажа аккаунтов маркетплейсов аккаунтов
продажа аккаунтов https://kupit-akkaunt.online/
buy facebook profiles https://buy-adsaccounts.work
cheap facebook advertising account https://buy-ad-account.top
facebook account buy buy facebook ad account
buy a facebook account buy-ads-account.click
buy fb ad account https://ad-account-buy.top/
buy accounts facebook buy a facebook account
buy facebook account for ads https://ad-account-for-sale.top
buy facebook profile https://buy-ad-account.click/
buy facebook profiles https://ad-accounts-for-sale.work
google ads accounts for sale https://buy-ads-account.top
adwords account for sale buy google ads verified account
fb accounts for sale https://buy-accounts.click
buy verified google ads account https://ads-account-for-sale.top
buy google ads threshold account https://ads-account-buy.work
buy google ads accounts buy google ads threshold account
buy google ads account https://buy-account-ads.work
buy google ads agency account https://buy-ads-agency-account.top/
buy account google ads https://sell-ads-account.click
buy google ads account buy google agency account
facebook bm for sale buy-business-manager.org
old google ads account for sale https://ads-agency-account-buy.click
facebook verified business manager for sale buy-business-manager-acc.org
buy facebook bm https://buy-bm-account.org
buy verified business manager buy bm facebook
business manager for sale buy bm facebook
buy verified facebook business manager https://buy-business-manager-verified.org/
facebook business manager for sale https://business-manager-for-sale.org/
buy business manager account buy-bm.org
facebook bm account buy https://verified-business-manager-for-sale.org/
buy business manager https://buy-business-manager-accounts.org/
buy tiktok ad account https://buy-tiktok-ads-account.org
tiktok ads account for sale https://tiktok-ads-account-buy.org
tiktok ads account for sale https://tiktok-ads-account-for-sale.org
buy tiktok ads accounts https://buy-tiktok-ad-account.org
buy tiktok ads tiktok agency account for sale
buy tiktok ads https://buy-tiktok-ads-accounts.org
buy tiktok ads https://buy-tiktok-business-account.org
tiktok agency account for sale https://buy-tiktok-ads.org
tiktok ads account buy https://tiktok-ads-agency-account.org