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

The sum of the ages of a father and son is 38 years. Four years ago, the product of their ages was 3 times the father’s age at that time. Find the present ages of father?

  1. 32

  2. 35

  3. 36

  4. 31
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let father's age be F and son's age be S. Given F + S = 38. Four years ago: (F-4)(S-4) = 3(F-4). Since F > 4, we can divide both sides by (F-4) to get S-4 = 3, so S = 7. Therefore F = 38 - 7 = 31. The father's present age is 31 years.

Multiple choice

Shweta is the younger child in her family. There are six members in this family whose sum of ages is 235. The average of the ages of three brothers of Shweta is 28 years less than the average age of her mother and father which is 59 years. What is Shweta's age 12 years ago?

  1. 24 years

  2. 12 years

  3. 14 years

  4. 10 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Six family members' total age = 235. Average of parents = 59, so their sum = 118. Remaining 4 members sum = 117. Average of 3 brothers = 59 - 28 = 31, so their sum = 93. Shweta's age = 117 - 93 = 24. Twelve years ago: 24 - 12 = 12 years. Option B is correct.

Multiple choice

The present age of S is six times that of present age of G. After 10 years, the ratio between S and R is 2: 1. If R celebrated her 4th birthday 6 years before. Then what is the age of G after 8 years?

  1. 23 years

  2. 13 years

  3. 18 years

  4. 24 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let S's present age be 6x and G's present age be x. R celebrated 4th birthday 6 years ago, so R's present age = 10. After 10 years: S = 6x+10, R = 20. Given ratio S:R = 2:1, so 6x+10 = 40, giving 6x = 30 and x = 5. G's present age = 5. After 8 years: 5 + 8 = 13 years. Option B is correct.

Multiple choice

The ratio between the ages of A and C is 5: x. A is 9 years younger than B. After 9 years, age of B will be 33 years. The difference of the ages of C and A is as same as the present age of B. What will be the value of x?

  1. 21

  2. 37

  3. 17

  4. 13
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present age of B = 24 years (since B + 9 = 33). Then A = B - 9 = 15 years. Given C - A = B = 24, so C = 39 years. The ratio A:C = 5:x means 5:x = 15:39 = 5:13. Therefore x = 13.

Multiple choice

The sum of the present ages of father and son is 50 years. Five years ago, the father's age was 7 times the son's age. What will be the son's age after 12 years?

  1. 42

  2. 37

  3. 22

  4. 32

  5. 26
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's current age be s and father's current age be f. From the sum: s + f = 50. Five years ago, father was 7 times as old as son: f - 5 = 7(s - 5). Solving gives f = 7s - 30. Substituting in the sum: s + 7s - 30 = 50, so 8s = 80 and s = 10. After 12 years, son's age = 10 + 12 = 22 years.

Multiple choice

One year ago Naveen’s father was 2 times as old as Praveen, but 20 years later from now Praveen’s father will be 1 year less than 2.5 times of Naveen’s present age. How many years old is their (Naveen and Praveen) father now, if the age difference between both the brothers (Naveen > Praveen) is 2 years?

  1. 58 years

  2. 69 years

  3. 79 years

  4. 59 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages: Naveen = N, Praveen = P, Father = F. Given N = P + 2. One year ago: F-1 = 2(P-1), so F = 2P - 1. 20 years later: F+20 = 2.5N - 1, so F = 2.5N - 21. Equating: 2P - 1 = 2.5(P+2) - 21. Solving: 2P - 1 = 2.5P + 5 - 21, so 2P - 1 = 2.5P - 16, giving 0.5P = 15, so P = 21, N = 23, F = 2(21)-1 = 41. Wait - recalculating carefully: 2P - 1 = 2.5(P+2) - 21 gives 2P - 1 = 2.5P + 5 - 21 = 2.5P - 16. So 15 = 0.5P, P = 30, N = 32, F = 2(30)-1 = 59. The father is 59 years old.

Multiple choice

The ratio of A's and B's present age is (5: 7). After 8 years, the ratio of the ages of A and B becomes (9: 11). Find the present age of B?

  1. 14

  2. 23

  3. 24

  4. 15

  5. 16
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 5x and 7x. After 8 years: (5x+8)/(7x+8) = 9/11. Cross-multiplying: 11(5x+8) = 9(7x+8), so 55x+88 = 63x+72, giving 16 = 8x, so x = 2. B's present age = 7x = 14. Option A is correct. Verification: Present ages 10 and 14. After 8 years: 18 and 22, ratio = 18/22 = 9/11. ✓

Multiple choice

Suneeta was married 30 years ago and ratio of her present age to the age of her at the time of marriage is 5:2. After 4 years of marriage she gave birth to a baby. Find the difference of current ages of Suneeta and her baby.

  1. 24

  2. 20

  3. 32

  4. 26

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

Let present age be 5x and marriage age be 2x. Since 5x - 2x = 30 years, x = 10. Present age = 50 years. Baby born 4 years after marriage, so baby's current age = 30 - 4 = 26 years. Difference = 50 - 26 = 24 years.

Multiple choice

What are the ages of Suresh and Ramesh? Statement 1: Three years ago, Suresh was 5 years younger to Rakesh and Mia was 7 years older to Rakesh. Statement 2: Ratio of present ages of Suresh and Ramesh is 15:19. Statement 3: Sum of the ages of Rakesh and Suresh is 95.

  1. Statement 1 and 2 or 3 together

  2. All statements are required

  3. Statements 1 and 2 together

  4. Statements 1 and 3 together

  5. All statements are not sufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement 1 (S+1 = R-5, M+1 = R+7) and Statement 2 (S/R = 15/19) are sufficient: From S+1 = R-5, we get S = R-6. With S/R = 15/19, substituting gives (R-6)/R = 15/19, so 19R - 114 = 15R, meaning 4R = 114 and R = 28.5. Then S = 28.5 - 6 = 22.5. Using Statement 3 (R+S = 95) would give different results, but Option A indicates we need Statement 1 AND either Statement 2 OR 3. This works.

Multiple choice

Three years ago, Poorvi was thrice as old as his sister Reena. After three years Poorvi will be twice as old as Reena. What is the present age of Reena?

  1. 5 years

  2. 11 years

  3. 9 years

  4. 7 years

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

Let Reena's present age = R. Three years ago: Reena was R-3, Poorvi was thrice that = 3(R-3) = 3R-9. So Poorvi's present age = 3R-9+3 = 3R-6. After three years: Reena will be R+3, Poorvi will be (3R-6)+3 = 3R-3. Given: 3R-3 = 2(R+3). Solving: 3R-3 = 2R+6 → R = 9. So Reena's present age is 9 years, which matches option C. Verify: 3 years ago Reena was 6, Poorvi was 18 (thrice). After 3 years, Reena will be 12, Poorvi will be 24 (twice).