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 ages of Sonal and Nitya are in the ratio (9 : 5). After eight years the ratio of their ages will be (13 : 9). What is the difference between their present ages?

  1. 5 years

  2. 8 years

  3. 10 years

  4. 13 years

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

Let ages be 9x and 5x. After 8 years: (9x+8)/(5x+8) = 13/9. Cross-multiplying: 9(9x+8) = 13(5x+8) → 81x+72 = 65x+104 → 16x = 32 → x = 2. Present ages: 9×2=18 and 5×2=10. Difference = 18-10 = 8 years.

Multiple choice

In three more years, Malvika's grandfather will be six times as old as Malvika was last year. When Malvika's present age is added to his grandfather's present age, the total is 68. How old is grandfather?

  1. 52 years

  2. 55 years

  3. 57 years

  4. 61 years

  5. 63 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Malvika's current age be M and grandfather's current age be G. From 'grandfather will be six times as old as Malvika was last year': G + 3 = 6(M - 1). From sum of present ages: M + G = 68. Substituting G = 68 - M into first equation: 68 - M + 3 = 6M - 6, so 71 + 6 = 7M, giving M = 11 and G = 57.

Multiple choice

There is a difference in age of Rama and Sudheer by 20 years. 4 years ago, Sudheer was 5 times as old as Rama. What is the present age of Sudheer?

  1. 25 years

  2. 29 years

  3. 32 years

  4. 33 years

  5. 39 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Sudheer's present age = S and Rama's present age = R. Age difference: |S - R| = 20. 4 years ago: (S-4) = 5(R-4). Expanding: S - 4 = 5R - 20, so S = 5R - 16. If S - R = 20, then 5R - 16 - R = 20, giving 4R = 36, so R = 9 and S = 29. If R - S = 20, then R - (5R - 16) = 20, giving -4R = 4, so R = -1 (invalid age). Thus S = 29 years.

Multiple choice

6 years ago, the ages (in years) of A and B were in the ratio (4 : 5) and 6 years hence they will be in the ratio (5 : 6). The present age of B is.

  1. 48 years

  2. 34 years

  3. 72 years

  4. 66 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

6 years ago: A=4x, B=5x. Present: A=4x+6, B=5x+6. 6 years hence: (4x+12)/(5x+12) = 5/6. Cross-multiply: 24x+72 = 25x+60, giving x=12. B's present age = 5(12)+6 = 66 years. Option A (48) would require x=8.4, which doesn't satisfy the second ratio condition.

Multiple choice

In three more years, Manav's grandfather will be six times as old as Manav was last year. When Manav's present age is added to his grandfather's present age, the total is 68. How old is grandfather?

  1. 52 years

  2. 55 years

  3. 57 years

  4. 61 years

  5. 63 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M = Manav's present age, G = Grandfather's present age. G + M = 68. In 3 years: G + 3 = 6(M - 1). G = 6M - 6 - 3 = 6M - 9. Substituting: 6M - 9 + M = 68, so 7M = 77, M = 11. Then G = 68 - 11 = 57 years.

Multiple choice

The ratio of present ages of Anil and Ajay is 1 : 2. After four years, the ratio of their ages will be 7 : 13. What will be sum of their ages after 5 years ?

  1. 84 years

  2. 80 years

  3. 72 years

  4. 86 years

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

Let present ages be x and 2x. After 4 years: (x+4)/(2x+4) = 7/13. Cross-multiply: 13x + 52 = 14x + 28, so x = 24. Present ages: 24 and 48. After 5 years: 29 + 53 = 82 years. Options A-D are close but incorrect, making E the right choice.

Multiple choice

Five year hence father's age will be three times the age his son. Five years ago, father was seven times as old as his son. Find the present age of father.

  1. 32 year

  2. 40 year

  3. 38 year

  4. 46 year
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let f = father's present age, s = son's present age. From 'five years hence father will be three times the age his son': (f + 5) = 3(s + 5) → f + 5 = 3s + 15 → f - 3s = 10. From 'five years ago father was seven times as old as his son': (f - 5) = 7(s - 5) → f - 5 = 7s - 35 → f - 7s = -30. Subtracting: (f - 3s) - (f - 7s) = 10 - (-30) → 4s = 40 → s = 10. Then f = 3(10) + 5 = 40.

Multiple choice

The sum of Monika and her Mother's age is 49 years. Seven years before the Mother's age was four times of Monika's age . Find the age of Monika.

  1. 35 Years

  2. 21 Years

  3. 12 Years

  4. 14 Years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Monika's age be M and her mother's age be N. From the problem: M + N = 49. Seven years ago, mother's age was four times Monika's age: (N - 7) = 4(M - 7). Solving gives N = 4M - 21. Substituting: M + 4M - 21 = 49, so 5M = 70, M = 14. Monika is 14 years old.

Multiple choice

The average age of Nitika and Deepa is 21 years. The ratio of their ages is 4 : 3 respectively. What is Deepa's present age?

  1. 18 years

  2. 24 years

  3. 26 years

  4. 09 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Average age of Nitika and Deepa is 21 years, so their total age is 42 years. With age ratio 4:3, let their ages be 4x and 3x. Then 4x + 3x = 42, giving x = 6. Deepa's age = 3x = 3 × 6 = 18 years. Option B (24 years) would be Nitika's age, not Deepa's.