Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

X and his grandmother's age difference is 50 years. After 6 years their total age will be 152 years, then what is their present age?

  1. 24 years, 74 years

  2. 26 years, 76 years

  3. 45 years, 95 years

  4. 25 years, 75 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the person's age be x years. Then grandmother's age is x + 50 years. After 6 years: (x + 6) + (x + 50 + 6) = 152. Solving: 2x + 62 = 152, so 2x = 90 and x = 45. Present ages are 45 years and 95 years. Option D (25, 75) has the correct 50-year difference but wrong sum when checked.

Multiple choice

The average of the age of Rahul, Arun and Deepak is 35 years. After 5 years Rahul will be two and half times as old as Arun who will be twice as old as Deepak. Find the present age of Deepak? (in years)

  1. 15

  2. 10

  3. 20

  4. 25

  5. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Current average age is 35, so R + A + D = 105. After 5 years: R+5 = 2.5(A+5) means R = 2.5A + 7.5; A+5 = 2(D+5) means A = 2D + 5. Substituting: 2.5(2D+5) + 7.5 + (2D+5) + D = 105. Solving: 5D + 12.5 + 7.5 + 2D + 5 + D = 105; 8D + 25 = 105; 8D = 80; D = 10. Option B is correct.

Multiple choice

5 years ago, the ratio of the ages of A and B was 3 : 2 and 5 years hence, their ages will be in the ratio of 5 : 4. What is the sum of present ages of A and B?

  1. 30 years

  2. 35 years

  3. 40 years

  4. 45 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be A and B. 5 years ago: (A-5)/(B-5) = 3/2. 5 years hence: (A+5)/(B+5) = 5/4. Cross-multiplying: 2A-10 = 3B-15 → 2A-3B = -5; 4A+20 = 5B+25 → 4A-5B = 5. Solving: multiply first by 2: 4A-6B = -10. Subtract from second: (4A-5B) - (4A-6B) = 5 - (-10) → B = 15. Then 2A-3(15) = -5 → 2A = 40 → A = 20. Sum = 35.

Multiple choice

The age of A and B are in the ratio of 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference in years between their ages ?

  1. 12 years

  2. 8 years

  3. 6 years

  4. 7 years

  5. 10 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's age = 11x, B's age = 13x. After 7 years: (11x+7)/(13x+7) = 20/23. Cross-multiply: 23(11x+7) = 20(13x+7) → 253x + 161 = 260x + 140 → 161 - 140 = 260x - 253x → 21 = 7x → x = 3. Difference = 13x - 11x = 2x = 6 years.

Multiple choice

The ratio of the present ages of Saurabh and Puneet is 13 : 17 , respectively. 4 years ago the respective ratio of their ages was 11 : 15 . What will be the respective ratio of their age 6 years hence ?

  1. 5 : 4

  2. 3 : 2

  3. 2 : 3

  4. 3 : 4

  5. 4 : 5
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let Saurabh's present age = 13x and Puneet's present age = 17x. Four years ago: (13x-4)/(17x-4) = 11/15. Cross multiply: 15(13x-4) = 11(17x-4), so 195x - 60 = 187x - 44, giving 8x = 16, x = 2. Present ages: Saurabh = 26, Puneet = 34. Six years hence: Saurabh = 32, Puneet = 40. Ratio = 32:40 = 4:5.

Multiple choice

10 years ago, the age of Sita's mother was four times her age. After 10 years mother's age will be twice the daughter's age. What is Sita's present age?

  1. 5 years

  2. 10 years

  3. 20 years

  4. 30 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Sita's present age be x. Ten years ago: Sita was (x-10), mother was 4(x-10). After 10 years from present: mother will be twice Sita's age. Mother's age from first statement = 4x-40+10 = 4x-30. Mother's age from second statement = 2(x+10)-10 = 2x+10. Equating: 4x-30 = 2x+10, giving 2x = 40, so x = 20 years.

Multiple choice

In present Sheetal's age is three times of Surabhi's age. After seven years, Sheetal's age will be two times of Surabhi's age then after another 14 years, Sheetal's age will be how many times of Surabhi's age?

  1. 1

  2. 3

  3. 2

  4. 1.5

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Surabhi's current age be x. Sheetal is 3x. After 7 years: 3x+7 = 2(x+7), giving x=7 (Surabhi is 7, Sheetal is 21). After another 14 years (21 total): Sheetal is 42, Surabhi is 28. Ratio = 42/28 = 1.5.

Multiple choice

The sum of present ages of father and son is 48 years. If after 6 years, father's age will be four times the son's age, what will be father's present age? पिता और पुत्र की वर्तमान आयु का योगफल 48 वर्ष है। यदि 6 वर्ष पश्चात्, पिता की आयु पुत्र की आयु की चार गुनी हो जायेगी तो पिता की वर्तमान आयु क्या होगी?

  1. 40

  2. 42

  3. 45

  4. 48
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's age be f, son's age be s. We have f + s = 48. After 6 years: (f + 6) = 4(s + 6). Substituting f = 48 - s gives 54 - s = 4s + 24, so 5s = 30 and s = 6. Therefore f = 42. Options A, C, and D don't satisfy both conditions.

Multiple choice

The average age of a husband and wife and their son was 40 years, the son got married and a child was born just two year after their marriage, when child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage? पति पत्नी और उनके पुत्र की औसत उम्र 40 वर्ष है। पुत्र की शादी के 2 वर्ष बाद एक बच्चे का जन्म होता है। जब बच्चा 10 वर्ष का हो जाता है। तब परिवार का औसत 38 वर्ष हो जाती है। तो शादी के समय वधु की उम्र क्या थी ?

  1. 12 yr./वर्ष

  2. 13 yr./वर्ष

  3. 14 yr./वर्ष

  4. 15 yr./वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let H, W, S be current ages. Initially (H+W+S)/3 = 40, so H+W+S = 120. After son's marriage and child's birth (10 years later), total age = 120 + 12 + 10 + 12 + 10 = 164 (son aged 12, wife aged 12, child aged 10). Family average = 164/5 = 32.8, but given as 38, so daughter-in-law's age at marriage = 12.

Multiple choice

6 years ago Amit was twice as old as Vivek .If the ratio of their present ages is 9 : 5 respectively .What is the difference between their present ages in years ? 6 वर्ष पहले अमित विवेक की आयु से दुगुना था। यदि उनकी वर्तमान आयु का अनुपात 9 : 5 है, तो उनकी आयु का वर्तमान अन्तर वर्षो में कितना है?

  1. 24

  2. 30

  3. 28

  4. 25
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 9x and 5x. Six years ago: Amit was 9x-6, Vivek was 5x-6. Given: 9x-6 = 2(5x-6), so 9x-6 = 10x-12, giving x = 6. Present ages: Amit = 54, Vivek = 30. Difference = 24 years. Checking: 6 years ago, Amit was 48, Vivek was 24 - the ratio was indeed 2:1. Option B would mean x=7.5, giving ages 67.5 and 37.5.

Multiple choice

Vedant's present age is four years less than the Sheetal's age after seven years. The ratio of present ages of Sheetal and Shipra is 13:23 respectively. Shipra is 12 years younger to Nutan whose present age is 58 years. What is Vedant's present age?

  1. 29 years

  2. 23 years

  3. 24 years

  4. Cannot be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Nutan = 58. Shipra = 58 - 12 = 46. Sheetal:Shipra = 13:23, so Sheetal = (13/23) x 46 = 26. Sheetal after 7 years = 26 + 7 = 33. Vedant = 33 - 4 = 29 years.

Multiple choice

The ratio of the father's age to the son's age is 4 : 1. If the product of their ages is 256 years. What will be the ratio of their ages after 10 years? पिता तथा पुत्र के आयु का अनुपात 4 : 1 है। यदि उनके आयु का गुणनफल 256 वर्ष है। 10 वर्ष बाद उनके आयु का अनुपात है।

  1. 4 : 3

  2. 3 : 4

  3. 3 : 7

  4. 7 : 3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let father's age = 4x, son's age = x. Then 4x × x = 256, so x = 8. Father = 32, son = 8. After 10 years: father = 42, son = 18. Ratio = 42:18 = 7:3.