31. If the product of the present ages of A and B is 864 and the ratio of the ages of A to B is 2:3, then what is A’s age after 20 years?

यदि A और B की वर्तमान आयु का गुणनफल 864 है और A से B की आयु का अनुपात 2: 3 है, तो 20 वर्ष के बाद A की आयु क्या होगी?

A. 40 years
B. 44 years
C. 48 years
D. 52 years
E. None of these

Option “B” is correct.

2x * 3x = 864

x2 = 144

x = 12 years

A’s present age =2 * 12 = 24 years

After 20 years A’s age = 24 + 20 = 44 years

32. The ratio of the ages of Anil and his father is 1:5. After 16 years, the ratio of their ages is 3:7. What is the average of their ages 4 years ago?

अनिल और उसके पिता की आयु का अनुपात 1: 5 है। 16 वर्षों के बाद उनकी आयु का अनुपात 3: 7 है। 4 साल पहले उनकी आयु का औसत क्या है?

A. 18 years
B. 20 years
C. 22 years
D. 24 years
E. None of these

Option “B” is correct.

(x + 16)/(5x + 16) = 3/7

15x + 48 = 7x + 112

8x = 64

x = 8

Anil’s present age = 8 years

Father’s present age = 5 * 8 = 40 years

Average = (8 – 4 + 40 – 4)/2

= 20 years

33. 12 years ago A’s age is equal to the B’s age after 10 years. If after 16 years, the ratio of the ages of A and B is 5:3, what is B’s age after 10 years?

12 वर्ष पहले A की आयु 10 वर्ष के बाद B की आयु के बराबर होती है। यदि 16 वर्ष के बाद A और B की आयु का अनुपात 5: 3 है, तो 10 वर्ष के बाद B की आयु क्या है?

A. 22 years
B. 33 years
C. 18 years
D. 27 years
E. None of these

Option “D” is correct.

A – 12 = B + 10

A – B = 22

5x – 3x = 22

2x = 22

x = 11

B’s age = 11 * 3 = 33 years

B’s present age = 33 – 16 = 17

After 10 years B’s present age = 10 + 17 = 27 years

34. The ratio of ages of A and B is 7: 8 and B and C is 3: 4. If the difference between the ages of A and C is 22 years, then find the sum of ages of them.

A और B की आयु का अनुपात 7: 8 और B और C का अनुपात 3: 4 है। यदि A और C की आयु के बीच 22 वर्ष का अंतर है, तो उनकी आयु का योग ज्ञात कीजिए।

A. 144 years
B. 154 years
C. 77 years
D. 108 years
E. None of these

Option “B” is correct.

A: B: C = 21: 24: 32 (21x, 24x, 32x)

32x – 21x = 22

x = 2

Required sum = (21 * 2) + (24 * 2) + (32 * 2) = 154 years

35. The ratio of the ages of A to B is 2: 1 and after 10 years, the ratio of their ages is 5: 3. What is the ratio of the ages of A to B 12 years ago?

A से B की आयु का अनुपात 2: 1 हैं और 10 वर्ष के बाद उनकी आयु का अनुपात 5: 3 है। 12 वर्ष पहले A से B की आयु का अनुपात क्या है?

A. 3: 1
B. 7: 2
C. 9: 4
D. 5: 4
E. None of these

Option “B” is correct.

The ratio of the ages of A to B = 2: 1   (2x, x)

(2x + 10)/(x + 10) = 5/3

5x + 50 = 6x + 30

x = 20

A = 20 * 2 = 40 years

B = 20 years

12 years ago, A=40 – 12=28

B = 20 – 12 = 8

Required ratio = 28 : 8 = 7 : 2

36. A is 8 years older than B and B is 12 years younger than C. If the sum of the ages of A, B and C is 80 years, then what is B’s age after 10 years?

A, B से 8 वर्ष बड़ा है और B,C से 12 वर्ष छोटा है। यदी A, B और C की आयु का योग 80 वर्ष है, तो 10 वर्ष के बाद B की आयु क्या है?

A. 20 years
B. 30 years
C. 28 years
D. 22 years
E. None of these

Option “B” is correct.

A – B = 8

C – B = 12

A + B + C = 80

B + 8 + B + 12 + B = 80

3B = 60

B = 20 years

After 10 years B’s age = 20 + 10 = 30 years

37. Ratio of the ages of A and B is 3: 2. Eight years ago A’s age is equal to the present age of B. What is the sum of the ages of A and B?

A और B की आयु का अनुपात 3: 2 है। आठ वर्ष पहले A की आयु, B की वर्तमान आयु के बराबर है। A और B की आयु का योग क्या है?

A. 30 years
B. 40 years
C. 50 years
D. 60 years
E. None of these

Option “B” is correct.

A – 8 = B

A/B = 3/2

A = 3/2 * B

3/2 * B – B = 8

B = 16

A = 16 + 8 = 24

A + B = 16 + 24 = 40 years

38. The ages of Sam and Sudha are in the ratio of 4:5. After 12 years, the ratio of their ages will be 7:8. What is the difference in their ages?

सैम और सुधा की आयु 4:5 के अनुपात में है। 12 वर्ष बाद उनके आयु का अनुपात 7:8 होगा। उनके आयु का अंतर क्या है?

A. 5 years
B. 4 years
C. 6 years
D. 8 years
E. None of these

Option “B” is correct.

(4x+12)/(5x+12) = 7/8

32x+96=35x+84

3x=12

x=4

Difference in their ages= (5x-4x) = x = 4 years

39. After 4 years, the ratio of the ages of A and B is 11:14. 6 years hence A is equal to B’s present age. What is the ratio of the present age of B to A?

4 वर्ष के बाद A और B की आयु का अनुपात 11:14 है। 6 वर्ष पहले A, B की वर्तमान आयु के बराबर है। B से A की वर्तमान आयु का अनुपात क्या है?

A. 4:3
B. 5:3
C. 2:1
D. 3:2
E. None of these

Option “A” is correct.

(A + 4)/(B + 4) = 11/14

14A + 56 = 11B + 44

11B – 14A = 12 ——- (1)

A + 6= B

B – A=6 ——– (2)

(1) – [(2) * 11]

-3A = -54

A = 18

B = 18 + 6 = 24

Required ratio=24:18

= 4:3

40. A’s age is 120% of B’s age and B’s age is 125% of C’s age. If the average of the ages of A, B and C is 50 years, the find 175% of C’s age?

A की आयु B की आयु का 120% है और B की आयु C की आयु का 125% है। यदि A, B और C की आयु का औसत 50 वर्ष है, तो C की आयु का 175% ज्ञात कीजिये?

A. 70
B. 80
C. 60
D. 50
E. None of these

Option “A” is correct.

A=120B/100

A=6/5 * B

B=125/100 * C

B=5/4 * C

5A/6=5/4 * C

A/3=C/2

A=3C/2

3C/2 + 5/4 * C + C=50 * 3

6C + 5C + 4C=600

C=40 years

175% of C’s age=175/100 * 40

=70

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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