Top 270+ Problems on Ages Questions for 100 % Free

Understanding problems on ages questions is pivotal for aspirants looking to crack competitive exams. A frequently addressed topic in the quantitative aptitude section, problems on ages questions is a familiar sight in many government exams. At first glance, these aptitude problems on ages might seem daunting. Yet, with a solid grasp of the underlying concepts, cracking aptitude problems on ages becomes much simpler. Interestingly, many candidates have come across problems on ages questions and answers as they prepare, underscoring the theme’s importance.

Problems on ages questions may initially read as complicated brain teasers. However, diving deep, one realizes they’re often straightforward. What’s fascinating is how these problems on ages for bank exams and other competitive tests range from direct questions to equation forms. And, there’s more than just the basic questions. Problems on ages questions and answers can also be integral to sections like data sufficiency or data interpretation. Thus, understanding aptitude problems on ages is absolutely crucial.

If you’ve ever come across problems on ages for bank exams or other competitive tests like SSC, SBI, RBI, or even state government exams, you’d know how often they feature. While problems on ages questions is a broad category, a predominant portion of them leans on the concept of ratio. Get the ratio right, and most of your aptitude problems on ages become easy to tackle.

So, for all those gearing up for exams and delving into problems on ages questions and answers, remember, it’s all about understanding the basics. And once you do, not just problems on ages for bank exams, but for all competitive exams, will be within your grasp.

270+ Problems on Ages Questions

41. Average present ages of A, B and C is 25 years. The ratio of the present ages of B and C is 4:5. After 6 years, the ratio will be B and C is 5:6, then what is the present age of A?

B और C की औसत वर्तमान आयु 25 वर्ष है। B और C की वर्तमान आयु का अनुपात 4: 5 है। 6 साल बाद B और C का अनुपात 5: 6 होगा, तो A की वर्तमान आयु क्या है?

A. 21 years
B. 23 years
C. 24 years
D. 18 years
E. None of these

Option “A” is correct.

A+B+C=75 years

(4x+6)/(5x+6)=5/6

24x+36=25x+30

x=6 years

B=4x=24 years

C=5x=30 years

A=75-30-24=21 years

42. If the ratio of the ages of A and B is x:y and the ratio of A’s age after 4 years to B’s age after 2 years is 6:5. If the sum of the ages of A and B is 104 years, then find the value of x:y?

यदि A और B की आयु का अनुपात x: y है और 4 वर्ष के बाद A की आयु से 2 वर्ष के बाद B की आयु का अनुपात 6: 5 है। यदि A और B की आयु का योग 104 वर्ष है, तो x: y का मान ज्ञात कीजिए?

A. 5:4
B. 6:5
C. 7:6
D. Cannot be determined
E. None of these

Option “C” is correct.

x+y=104—-(1)

(x+4)/(y+2)=6/5

5x+20=6y+12

5x-6y=-8——-(2)

(1)*5-(2)

11y=528

y=48

x=56

x:y=56:48=7:6

43. The ratio of ages of A, 6 years ago to the age of B, 4 years hence is 1: 2. If their average present age is 28, age of A is what percentage of age of B?

6 वर्ष पहले, A की आयु से 4 वर्ष बाद, B की आयु का अनुपात 1: 2 है। यदि उनकी औसत वर्तमान आयु 28 है, तो A की आयु, B की आयु की कितनी प्रतिशत है?

A. 25%
B. 75%
C. 50%
D. 60%
E. None of these

Option “B” is correct.

Let the present age of A and B be a and b

Then

(a – 6)/(b + 4) = ½

2a – 12 = b + 4

2a – b = 16 —– (1)

a + b = 56 —– (2)

Solving (1) & (2)

a = 24

b = 32

Required % = 24/32 * 100 = 75%

44. 8 years ago, A’s age is three times of B’s age at that time. A’s age after 4 years is twice of B’s age after 6 years. What is the sum of the present ages of A and B?

8 साल पहले A की आयु, उस समय B की आयु की तीन गुना थी। 4 वर्ष के बाद A की आयु 6 वर्ष के बाद B की आयु की दोगुनी है। A और B की वर्तमान आयु का योग क्या है?

A. 40 years
B. 60 years
C. 80 years
D. 100 years
E. None of these

Option “C” is correct.

(A – 8)=3( B – 8)

A – 8=3B – 24

A – 3B + 16=0 ———–(1)

(A + 4)=2(B + 6)

A + 4=2B + 12

A – 2B – 8=0 ——–(2)

(1) – ( 2)

-B + 24=0

B=24 years

From (2),

A – (2 * 24) – 8=0

A=56 years

Sum of present ages of A and B=56 + 24=80 years

45. The average age of A, B, C is 34 years. The ratio of age of A to the age of B is 7:6, and the ratio of age of B to age of C is 3:2. Find the age of C.

A, B, C की औसत आयु 34 वर्ष है। A की आयु से B की आयु का अनुपात 7: 6 है, और B की आयु से C की आयु का अनुपात 3: 2 है। C की आयु ज्ञात कीजिए।

A. 32 years
B. 18 years
C. 20 years
D. 28 years
E. 24 years

Option “E” is correct.

Ratio of age of A:B:C = 7:6:4

Ages of A, B, C is 7x, 6x, 4x respectively.

7x+6x+4x = 34 * 3

17x = 102

x = 6

Age of C = 4 * 6 = 24 years

46. Ratio of the present ages of A and B is 3: 7 and after 12 years, the ratio of A and B becomes 9: 17. If C’s age is half of B’s age, then what is the sum of the ages of A and C?

A और B की वर्तमान आयु का अनुपात 3: 7 है और 12 वर्ष के बाद A और B का अनुपात 9: 17 हो जाता है। यदि C की आयु B की आयु से आधी है, तो A और C की आयु का योग क्या है?

A. 48 years
B. 52 years
C. 56 years
D. 60 years
E. None of these

Option “B” is correct.

(3x + 12)/(7x + 12) = 9/17

63x + 108 = 51x + 204

12x = 96

x = 8

A’s age = 3 * 8 = 24

B’s age = 7 * 8 = 56

C’s age = 56/2 = 28

Sum of A and C = 24 + 28 = 52

47. Before 6 years, the ratio of the ages of Shon and Sania is 4:5 and after 12 years, the ratio of the age of Shon to Sania will be 7:8. What is the ratio of the present age of Shon to Sania?

6 वर्ष पहले शॉन और सानिया की आयु का अनुपात 4: 5 है और 12 वर्ष के बाद शॉन और सानिया की आयु का अनुपात 7: 8 होगा। शॉन और सानिया की वर्तमान आयु का अनुपात क्या है?

A. 5:6
B. 6:7
C. 7:8
D. 4:5
E. None of these

Option “A” is correct.

(4x + 6 + 12)/(5x + 6 + 12) = 7/8

(4x + 18) * 8 = (5x + 18) * 7

32x + 144 = 35x + 126

3x = 18

x = 6 years

Preset age ratio of Shon to Sania= (4 * 6 + 6):(5 * 6 + 6)

= 30:36

=5:6

48. Ratio of the ages of A and B is 4: 5 and after 4 years, the ratio of the ages of B and C is 3:4. If the sum of the ages of A, B and C is 64 years, what is the present age of B?

A और B की आयु का अनुपात 4: 5 है और 4 वर्ष के बाद B और C की आयु का अनुपात 3: 4 है। यदि A, B और C की आयु का योग 64 वर्ष है, तो B की वर्तमान आयु क्या है?

A. 18 years
B. 20 years
C. 24 years
D. 28 years
E. None of these

Option “B” is correct.

A + B + C = 64

A/B = 4/5

A = 4/5 B

(B + 4)/(C + 4) = ¾

3C + 12 = 4B + 16

3C – 4B = 4

3C = 4B + 4

A + B + C = 64

4/5 B + B + (4B + 4)/3 = 64

12B + 15B + 20B + 20 = 64 * 15

47B = 940

B = 20

49. The ratio of the ages of A and B is 3:2 and after 8 years, the ratio will be 13:10. If the average ages of A, B and C is 18 years, what is C’s age after 6 years?

A और B की आयु का अनुपात 3: 2 है और 8 वर्ष के बाद अनुपात 13: 10 होगा। यदि A, B और C की औसत आयु 18 वर्ष है, तो 6 वर्ष के बाद C की आयु क्या है?

A. 32 years
B. 30 years
C. 36 years
D. 40 years
E. None of these

Option “B” is correct.

(3x + 8)/(2x + 8) = 13/10

26x + 104 = 30x + 80

4x = 24

x = 6 years

A’s age = 6 * 3 = 18 years

B’s age = 6 * 2 = 12 years

A + B + C = 18 * 3 = 54

C = 54 – 18 – 12 = 24

C’s age after 6 years = 24 + 6 = 30 years

50. 6 years ago, the ratio of ages of A and B is 2: 3. After 6 years, the ratio of ages of A and B is 3: 4. Find the sum of the present ages of A and B?

6 साल पहले A और B की आयु का अनुपात 2: 3 है। 6 साल बाद A और B की आयु का अनुपात 3: 4 है। A और B की वर्तमान आयु का योग ज्ञात कीजिए?

A. 64 years
B. 72 years
C. 68 years
D. 66 years
E. None of these

Option “B” is correct.

6 years ago, the ratio of ages of A and B = 2: 3 (2x, 3x)

Present ages of A and B = 2x + 6, 3x + 6

After 6 years, the ratio of ages of A and B = 3: 4

According to the question,

(2x + 12)/(3x + 12) = (3/4)

8x + 48 = 9x + 36

x = 12

Sum of the present ages of A and B = 2x + 3x + 12 = 72 years