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

81. Respective ratio of the ages of Lili and Baby before two years was 4:3. After four years, respective ratio of their ages will be 5:4. Present age of Suman is average of the present ages of Lili and Baby. Find the present age of Suman.

दो साल से पहले लिली और बेबी की आयु का संबंधित अनुपात 4: 3 था। चार वर्षों के बाद, उनकी आयु का संबंधित अनुपात 5: 4 होगा। सुमन की वर्तमान आयु लिली और बेबी की वर्तमान आयु का औसत है। सुमन की वर्तमान आयु ज्ञात कीजिए।

A. 23 years
B. 21 years
C. 20 years
D. 27 years
E. None of these

Option “A” is correct.

Let the ages of Lili and Baby before two years be 4k years and 3k years respectively.

According to the question

(4k + 6)/(3k + 6) = 5/4

=> 4 x (4k + 6) = 5 x (3k + 6)

=> 16k + 24 = 15k + 30

=> 16k – 15k = 30 – 24

=> k = 6

Present age of Lili = 4k + 2 = 4 x 6 + 2 = 26 years

Present age of Baby = 3k + 2 = 3 x 6 + 2 = 20 years

Present age of Suman = (26 + 20)/2 = 46/2 = 23 years

82. A’s age is 125% of B’s age and the average ages of A, B, C and D is 32 years. Difference between the ages of C and D is 13 years and the ratio of the ages of A to C is 5:7. If D is elder than C, then what is the present age of D?

A की आयु B की आयु का 125% है और A, B, C और D की औसत आयु 32 वर्ष है। C और D की आयु के बीच में अंतर 13 वर्ष का है और A से C की आयु का अनुपात 5: 7 है। यदि D, C से बड़ा है, तो D की वर्तमान आयु क्या है?

A. 42 years
B. 45 years
C. 48 years
D. 51 years
E. None of these

Option “B” is correct.

Given that, A=125/100 * B

A=5/4 * B

A/C=5/7

D – C=13

A + B + C + D=32 * 4=128

A:B:C=5:4:7

D – 7x=13

D=13 + 7x

5x + 4x + 7x + 13 + 7x=128

x=5

Thus, D’s age=7 * 5 + 13=48 years

83. Four years after the ratio of the ages of Shon and Surya is 2:3 and 7 years ago Shon’s age is 52% of Surya’s age. What is the sum of the present ages of Shon and Surya?

शॉन और सूर्या की आयु के अनुपात चार साल बाद 2: 3 है| और 7 साल पहले शॉन की आयु सूर्या की आयु का 52% है। शॉन और सूर्या के वर्तमान आयु का योग क्या है?

A. 52 years
B. 54 years
C. 56 years
D. 58 years
E. None of these

Option “A” is correct.

Let the present age of Shon=x

Let the present age of Surya=y

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

3x + 12=2y + 8

3x – 2y + 4=0 ———(1)

(x – 7)=52/100 * (y – 7)

25x – 175=13y – 91

25x – 13y – 84=0 ———-(2)

(1) * 25 – (2) * 3

-11y =-352

y=32 years

From (1),

3x – 64 + 4=0

x=20 years

Hence x + y=32 + 20=52years

84. The ratio of the ages of A and B after 4 years 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। वर्तमान में B और A की 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

85. 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 और B की आयु का अनुपात 7: 6 है, और B की आयु और 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

86. The ratio of ages of A and B 7 years ago is 1: 2. The present age of A is what percentage of B’s age after 7 years, if the ratio of ages of A and B after 8 years is 2: 3?

A और B की आयु का अनुपात 7 वर्ष पहले 1: 2 है। A की वर्तमान आयु 7 वर्ष के बाद B की आयु का कितना प्रतिशत है, यदि 8 वर्ष के बाद A और B की आयु का अनुपात 2: 3 है?

A. 100%
B. 37.5%
C. 75%
D. 25%
E. 50%

Option “E” is correct.

Ratio of ages of A and B 7 years ago = 1: 2 (x, 2x)

(x + 15)/ (2x + 15) = 2/3

3x + 45 = 4x + 30

x = 15

A’s age = 15 + 7 = 22

B’s age = 2 * 15 + 7 = 37

Required % = [22/(37+7)]* 100 = 50%

87. 8 years hence, the age of P and 3 years ago, the age of Q is in the ratio of 4: 3. The product of the present age of P and Q is 216 years. Find the present age of Q?

8 वर्ष बाद, P की आयु और 3 वर्ष पहले, Q की आयु 4: 3 के अनुपात में है। P और Q की वर्तमान आयु का गुणनफल 216 वर्ष है। Q की वर्तमान आयु ज्ञात कीजिये?

A. 20 years
B. 24 years
C. 18 years
D. 12 years
E. None of these

Option “C” is correct.

8 years hence, the age of P and 3 years ago, the age of Q is in the ratio

= 4: 3 (4x, 3x)

The present age of P and Q = 4x – 8, 3x + 3

Given,

(4x – 8) * (3x + 3) = 216

12x2 + 12x – 24x – 24 = 216

12x2 – 12x – 240 = 0

x2 – x – 20 = 0

(x + 4) (x – 5) = 0

x = -4, 5 (Negative value will be eliminated)

The present age of Q = 3x + 3 = 18 years

88. 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

89. 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

90. 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