221. A man is 22 years older than his daughter. In two years, his age will be twice of the age of his daughter. What is the present age of his daughter?

एक आदमी अपनी बेटी से 22 साल बड़ा है। दो साल में उनकी उम्र उनकी बेटी की उम्र से दोगुनी होगी। उनकी बेटी की वर्तमान आयु क्या है?

A. 20 years
B. 22 years
C. 21 years
D. 24 years
E. None of these

Option “A” is correct.

Let the age of daughter be x and the age of father be 22 + x.

=> 2(x + 2) = (x + 22 + 2)

=> 2x + 4 = x + 24

=> x = 20 years

222. The difference between the ages of Manoj and Akil is 12 years. If the ratio of their ages 6 years hence is 4 : 3, then find the present age of Akil’s mother, who is 24 years older than Akil?

मनोज और अकिल की उम्र में 12 साल का अंतर है। यदि उनकी आयु का अनुपात 6 वर्ष बाद 4: 3 है, तो अकिल की माता की वर्तमान आयु ज्ञात कीजिए, जो अकिल से 24 वर्ष बड़ी है?

A. 58 years
B. 62 years
C. 54 years
D. 66 years
E. None of these

Option “C” is correct.

Manoj – Akil = 12

6 years hence, The ratio of Manoj and Akil = 4 : 3 (4x, 3x)

Present age of Manoj and Akil = 4x – 6, 3x – 6

According to the question,

4x – 3x = 12

x = 12

Present age of Akil = 3x – 6 = 30 years

Present age of Akil mother = 30 + 24 = 54 years

223. The ratio of present age of Madhan, Jai and Kamal is 5: 7: 8 and Jai is 16 years older than Madhan. What was the ratio of Madhan, Jai and Kamal before 4 years ago?

माधन, जय और कमल की वर्तमान आयु का अनुपात 5: 7: 8 है और जय माधन से 16 वर्ष बड़ा है। 4 वर्ष पहले माधन, जय और कमल के आयु का अनुपात क्या था?

A. 9: 13: 16
B. 9: 12: 16
C. 10: 13: 15
D. 9: 13: 15
E. None of these

Option “D” is correct.

Let present age of Madhan, Jai and Kamal is 5x, 7x and 8x years respectively.

According to the question,

=> 7x -5x=16

=> 2x = 16

=> x = 8

So, present age of Madhan, Jai and Kamal is 40 years, 56 years, and 64 years respectively

Therefore, required ratio = 40 – 4: 56 – 4: 64 – 4 = 36: 52: 60 = 9: 13: 15

224. Ratio of the ages of Anu 4 years ago to the age of Banu 6 years hence is 1:2 and the after 10 years Anu’s age is equal the present age of Banu. If Sheela is 17 years older than Anu, then find the present age of Sheela?

4 वर्ष पहले अनु की आयु और 6 वर्ष बाद बनु की आयु का अनुपात 1:2 है और 10 वर्ष के बाद अनु की आयु बनू की वर्तमान आयु के बराबर है। यदि शीला अनु से 17 वर्ष बड़ी है, तो शीला की वर्तमान आयु ज्ञात करें?

A. 39 years
B. 40 years
C. 32 years
D. 37 years
E. None of these

Option “E” is correct.

(A – 4)/(B + 6) = 1/2

B + 6 = 2A – 8

2A – B = 14———–(1)

A + 10 = B

B – A = 10 ——–(2)

(1) + (2)

A = 24 years

Sheela = 17 + 24 = 41 years

225. Average age of 5 sons of a family is 6 years. Average age of sons together with their parents is 14 years. If the father is older than the mother by 6 years, what is the age of mother 5 years hence?

एक परिवार के 5 पुत्रों की औसत आयु 6 वर्ष है। अपने माता-पिता के साथ पुत्रों की औसत आयु 14 वर्ष है। यदि पिता, माता से 6 वर्ष से अधिक आयु का है, तो 5 वर्ष बाद माता की आयु क्या है?

A. 41 years
B. 34 years
C. 35 years
D. 31 years
E. 36 years

Option “E” is correct.

Average age of 5 sons = 6 years

Sum of age of sons = 5 × 6 = 30 years

Average age of sons and parents = 14 years

Sum of age of sons and parents = 14 × 7 =98

Sum of age of parents = 98 – 30 = 68

It is given that father is 6 years older than mother,

Mother’s age= x   and   Father’s age = x + 6

x + x + 6 = 68

2x = 68 – 6

x = 62/2

x = 31

Mother’s present age = 31 and mother’s age 5 years hence = 31 + 5 = 36 years

226. Boobesh’s father was 36 years of age when he was born while his mother was 34 years of age when his sister, who was3 years younger to him was born. What is the sum of ages of his parents when his sister will be 9 years old?

बोबेश के पिता की उम्र 36 साल थी जब वह पैदा हुआ था जबकि उसकी माँ की उम्र 34 साल थी जब उसकी बहन पैदा हुई थी, जो उससे 3 साल छोटी थी। जब उसकी बहन 9 साल की होगी, तो उसके माता-पिता की उम्र का योग कितनी होगी?

A. 77 years
B. 91 years
C. 73 years
D. 87 years
E. 95 years

Option “B” is correct.

When Boobesh’s sister was born,

His father’s age = 36+3 = 39 years

His mother’s age = 34 years

When sister will be 9 years old,

His father’s age = 39+9 = 48 years

His mother’s age = 34+9 = 43 years

Sum of age of father and mother = 48+43 = 91 years

227. The ratio of the ages of Sam and Ram is 3: 7 and after 9 years the ratio becomes 15: 29. If Shon is 21 years younger than Ram, what is the sum of the ages of Sam and Shon?

सैम और राम की आयु का अनुपात 3:7 है और 9 वर्ष के बाद यह अनुपात 15:29 हो जाता है। यदि शॉन राम से 21 वर्ष छोटा है, तो सैम और शॉन की आयु का योग क्या है?

A. 49 years
B. 56 years
C. 63 years
D. 42 years
E. None of these

Option “A” is correct.

3x + 9/7x + 9 = 15/29

105x + 135 = 87x + 261

18x = 126

x = 7

Sam = 3 * 7 = 21 years

Ram = 7 * 7 = 49 years

Shon = 49 – 21 = 28 years

Sum of Sam and Shon age = 21 + 28 = 49 years

228. Ratio of the ages of Anu to France is 5: 4 and Ram 4 years younger than Anu and Karthick 6 years younger than Ram. If Karthick present age is 20 years, then the present age of Karthick is what percent of the present age of France?

अनु से फ्रैंक की आयु का अनुपात 5: 4 है और राम, अनु से 4 वर्ष छोटा है और कार्तिक, राम से 6 वर्ष छोटा है। यदि कार्तिक की वर्तमान आयु 20 वर्ष है, तो कार्तिक की वर्तमान आयु, फ्रैंक की वर्तमान आयु की कितनी प्रतिशत है?

A. 83%
B. 86%
C. 89%
D. 78%
E. 75%

Option “A” is correct.

Present age of Karthick = 20 years

Present age of Ram = 20 + 6 = 26 years

Anu age = 26 + 4 = 30 years

Present age of France = 30 * 4/5 = 24 years

Required percentage = 20/24 * 100 = 83%

229. Ratio of the age of Renuka to Ram is 4:5 and the ratio of the age of Sharu and Divya is 2:3. Ratio of the age of Renuka to Divya is 6:5 and the Sharu is 25 years younger than Ram, what is the average age of Renuka, Ram, Sharu and Divya together?

रेणुका से राम की आयु का अनुपात 4: 5 है तथा शारू और दिव्या की आयु का अनुपात 2: 3 है। रेणुका से दिव्या की आयु का अनुपात 6: 5 है तथा शारू, राम से 25 वर्ष छोटा है, तो एक साथ रेणुका, राम, शारू और दिव्या की औसत आयु क्या है?

A. 32.75 years
B. 28.75 years
C. 40.75 years
D. 36.75 years
E. None of these

Option “A” is correct.

Renuka/Ram=4/5

Ram = 5Renuka/4

4Ram/5 = Renuka

Renuka = 6/5 * Divya

Ram = Sharu + 25

5Renuka/4 = Sharu + 25

Sharu/Divya = 2/3

3Sharu = 2Divya

Divya = 5Renuka/6

Divya = (5 (4 * Ram/5))/6

Divya = 2/3 * Ram

2 * Divya =4Ram/3

3 * Sharu = 4Ram/3

Ram = 4Ram/9 + 25

25 = 5Ram/9

Ram = 45 years

Sharu = 45 – 25= 20 years

5Renuka/4 = 45

Renuka = 36 years

Divya = 5*36/6 = 30 years

Renuka + Ram + Sharu + Divya = 36 + 30 + 45 + 20 = 131 years

Required average = 131/4 = 32.75 years

230. The present age of Mani is 12.5% less than the Tharun who is 13 years younger than Bala. If the average age of Mani, Tharun and Bala is 35 years, then find the sum of the age of Mani and Bala?

मणि की वर्तमान आयु थारुन से 12.5% कम है जो बाला से 13 वर्ष छोटा है। यदि मणि, थारुन और बाला की औसत आयु 35 वर्ष है, तो मणि और बाला की आयु का योग ज्ञात कीजिए?

A. 49 years
B. 67 years
C. 51 years
D. 73 years
E. None of these

Option “D” is correct.

Tharun=8x

Mani=7x

Bala=8x+13

8x+7x+8x+13=35*3

23x=92

x=4

Required sum=7*4+8*4+13=73 years

Pages: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

131 thoughts on “Problems on Ages”

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