211. What is the present age of Simian, who is 9 years elder to Santhi and present age of Prasanth is double of the age of Santhi and average age of all the three persons together at present is 23 years?

वर्तमान समय में सिमियन की उम्र क्या है, जो संथी से 9 वर्ष बड़ी है और प्रशांत की वर्तमान उम्र संथी की उम्र की दोगुनी है और वर्तमान में तीनों व्यक्तियों की एक साथ औसत आयु 23 वर्ष है?

A. 30 years
B. 18 years
C. 25 years
D. 28 years
E. None of these

Option “E” is correct.

Let the present age of Subha, Prasanth and Santhi is ‘x’, ‘y’ and ‘z’ respectively.

(x + y + z)/3 =23

(x + y + z) = 69…. (1)

y = 2Z … (2) From (1) and (2):

x + 3z = 69….(3)

x – z = 9….(4)

From (3) and (3):

4x = 96

x = 24 years

212. A’s age 8 years ago is equal to B’s age 6 years ago. If the ratio of the sum of the ages of A and B 5 years ago together to C’s present age is 2:1 and C’s age 6 years hence is equal to A’s present age. What is the present age of C?

8 वर्ष पूर्व A की आयु 6 वर्ष पूर्व B की आयु के बराबर है। यदि पांच साल पहले A और B की आयु के योग और C की वर्तमान आयु का अनुपात 2: 1 है और 6 वर्ष बाद C की आयु,A की वर्तमान आयु के बराबर है, तो C की वर्तमान आयु क्या है?

A. 20 years
B. 24 years
C. 22 years
D. Cannot be determine
E. None of these

Option “D” is correct.

A – 8 = B – 6

A – B = 2

(A – 5 + B – 5)/C = 2/1

A + B  = 2C + 10

C + 6 = A

B = A – 2

B = C + 6 – 2

B = C + 4

C + 4 + C + 6 = 2C + 10

We cannot find the answer.

213. The average age of A, B, C and D is 42 years and the average ages of B, C and D is 28 years. If the sum of the ages of A and B is 144 years and the ratio of the ages of B to C after 10 years is 7:3, then what is the present age of D?

A, B, C और D की औसत आयु 42 वर्ष है और B, C और D की औसत आयु 28 वर्ष है। यदि A और B की आयु का योग 144 वर्ष है और 10 वर्ष के बाद B और C की आयु का अनुपात 7: 3 है, तो D की वर्तमान आयु क्या है?

A. 8 years
B. 7 years
C. 12 years
D. 5 years
E. None of these

Option “D” is correct.

A + B + C + D=42 * 4=168

B + C + D=28 * 3=84

A + B=144

A=168 – 84 = 84 years

B =144 – 84 = 60 years

C + D =168 – (84 + 60) = 24 years

After 10 years B’s age=60 + 10=70 years

C’s age after 10 years=70 * 3/70=30 years

Present age of C=30 – 10=20 years

D =24 – 20 = 4 years.

214. Three years ago the ratio of the ages of A and B is 3:4 and the average of the ages of B and C after 4 years is 40 years. If after 9 years A’s age is equal to the average ages of B and C, then what is the present age of C?

तीन वर्ष पहले, A और B की आयु का अनुपात 3: 4 है और 4 वर्ष के बाद B और C की आयु का औसत 40 वर्ष है। यदि 9 वर्ष के बाद A की आयु B और C की औसत आयु के बराबर है, तो C की वर्तमान आयु क्या है?

A. 28 years
B. 33 years
C. 37 years
D. 43 years
E. 48 years

Option “C” is correct.

(A – 3)/(B – 3)=3:4

4A – 12=3B – 9

4A – 3B=3

((B + 4) + (C + 4))/2=40

B + C=72

A’s age after 9 years=72/2=36 years

A’s present age=36 – 9=27 years

4 * 27 – 3B=3

B=35 years

C=72 – 35=37 years

215. If the product of the ages of Ragu and Sonu is 768 years and the sum of the ages of Ramu and Rinu is 75 years. Rinu age is 16 years when Sonu was born. If the average of the ages of Ramu, Rinu and Sonu is 33 years, then what is the present age of Ragu?

यदि रागु और सोनू की आयु का गुणनफल 768 वर्ष है और रामू और रिनू की आयु का योग 75 वर्ष है। रोनू की उम्र 16 वर्ष है जब सोनू का जन्म हुआ था। यदि रामू, रिनू और सोनू की आयु का औसत 33 वर्ष है, तो रागु की वर्तमान आयु क्या है?

A. 20 years
B. 27 years
C. 32 years
D. 38 years
E. Cannot be determine

Option “C” is correct.

Ramu + Rinu + Sonu=99

Rinu = Sonu + 16

Ramu + Rinu=75

Ramu + Sonu + 16=75

Ramu=59 – Sonu

59 – Sonu + Sonu + 16 + Sonu=99

Sonu=24 years

Ragu=768/24=32 years

216. Five years ago the ratio of the ages of A to B is 2:1 and the present age of A is 20 years more than B. If C’s age is 120% more than that of sum of the present age of A and B together, then what is C’s age after 8 years?

पाँच साल पहले A से B की आयु का अनुपात 2: 1 है और A की वर्तमान आयु B से 20 वर्ष अधिक है। यदि C की आयु A और B की वर्तमान आयु के योग की तुलना में 120% अधिक है, तो फिर 8 साल बाद C की उम्र क्या है?

A. 90 years
B. 88 years
C. 94 years
D. 86 years
E. Cannot be determine

Option “E” is correct.

(A – 5)/(B – 5) = 2/1

A – 5 = 2B – 10

A – 2B = -5

A = B + 20

B + 20 – 2B=-5

B = 25

A = 25 + 20=45

C = 120/100 * (45 + 25)

= 84 years

After 8 years C’s age = 84 + 8=92

217. The average age of a office of 29 workers is 12 years. If the age of the manager is included then the average increases by 6 months. Find the age of the manager.

एक कार्यालय के 29 श्रमिकों की औसत आयु 12 साल है। यदि प्रबंधक की उम्र शामिल है तो औसत में 6 महीने की वृद्धि होती है। प्रबंधक की आयु ज्ञात करें।

A. 19 yrs
B. 35 yrs
C. 43 yrs
D. 27 yrs
E. None

Option “D” is correct.

The age of 29 workers = (29*12)

=348 yrs

Average age of 30 persons = 12 yrs 6 months

=25 / 2 yrs

Total age of 30 persons = (25 / 2* 30)

=375 yrs

Age of the manager = (375 – 348)

=27 yrs

218. The ratio of age of A, 3 years ago and the age of B, 5 years hence is 5: 7. 6 years hence, the ratio of age of A and B is in the ratio of 17: 18. Find the present age of C, if B is 8 years elder than C?

3 वर्ष पहले, A की आयु और 5 वर्ष बाद, B की आयु का अनुपात 5: 7 है। 6 वर्ष बाद, A और B की आयु का अनुपात 17: 18 है। C की वर्तमान आयु ज्ञात कीजिए, यदि B, C से 8 वर्ष बड़ा है?

A. 24 years
B. 22 years
C. 20 years
D. 26 years
E. None of these

Option “B” is correct.

The ratio of age of A, 3 years ago and the age of B, 5 years hence = 5: 7 (5x, 7x)

6 years hence, the ratio of age of A and B is in the ratio = 17: 18

According to the question,

= > (5x + 3 + 6) / (7x + 1) = (17/18)

= > (5x + 9) / (7x + 1) = (17/18)

= > 90x + 162 = 119x + 17

= > 29x = 145

= > x = 5

Present age of B = 7x – 5 = 35 – 5 = 30 years

Present age of C = 30 – 8 = 22 years

219. Respective ratio of the ages of Sonal and Mrunal before four years was 2: 3. After four years, respective ratio of their ages will be 5: 7. Average of the present ages of Mrunal, Sonal and Kartik is 36 years. Sonal is how many years older than Kartik?

चार वर्ष से पहले सोनल और मृणाल की आयु का सम्बंधित अनुपात 2: 3 था। चार वर्ष के बाद, उनकी आयु का संबंधित अनुपात 5: 7 होगा। मृनाल, सोनल और कार्तिक की वर्तमान आयु का औसत 36 वर्ष है। सोनल कार्तिक से कितने साल बड़ी है?

A. 20 years
B. 16 years
C. 18 years
D. 14 years
E. None of these

Option “B” is correct.

Let, ages of Sonal and Mrunal before four years are 2k years and 3k years respectively.

(2k + 8)/(3k + 8) = 5/7

=> 14k + 56 = 15k + 40

=> 15k – 14k = 56 – 40

=> k = 16

Present age of Sonal = 2 x 16 + 4 = 36 years

Present age of Mrunal = 3 x 16 + 4 = 52 years

Sonal + Mrunal + Kartik = 36 x 3

=> 36 + 52 + Kartik = 108

=> Kartik = 108 – 88

=> Kartik = 20

Required difference = 36 – 20 = 16 years

220. Respective ratio of the ages of Nisha and Bhumi before five years was 4:3. After five years, respective ratio of their ages will be 29:23. Geeta is two years older than Nisha and Ruma is four years older than Bhumi. Find the respective ratio of the present ages of Geeta and Ruma.

पाँच साल से पहले निशा और भूमि के आयु का क्रमश: अनुपात 4: 3 था। पाँच वर्षों के बाद, उनकी आयु का संबंधित अनुपात 29:23 होगा। गीता निशा से दो साल बड़ी है और रूमा भूमी से चार साल बड़ी है। गीता और रूमा की वर्तमान आयु के संबंधित अनुपात ज्ञात कीजिये।

A. 7:5
B. 11:9
C. 9:7
D. 5:3
E. None of these

Option “B” is correct.

Let, ages of Nisha and Bhumi before five years be 4k years and 3k years respectively.

(4k + 10)/(3k + 10) = 29/23

=> 23 x (4k + 10) = 29 x (3k + 10)

=> 92k + 230 = 87k + 290

=> 92k – 87k = 290 – 230

=> 5k = 60

=> k = 60/5

=> k = 12

Present age of Nisha = 4 x 12 + 5 = 53 years

Present age of Bhumi = 3 x 12 + 5 = 41 years

Present age of Geeta = 53 + 2 = 55 years

Present age of Ruma = 41 + 4 = 45 years

Required ratio = 55 : 45 = 11:9

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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