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 ratio of A's age 3 years ago and B's age 5 years hence is 3: 4. The average of the ages of A and C is 20 years. Also C's age after 10 years will be 2 more than twice the present age of B. Find the age of C.

  1. 22 years

  2. 24 years

  3. 15 years

  4. 18 years

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

Let A's present age = A, B's present age = B, C's present age = C. Given: (A-3)/(B+5) = 3/4, (A+C)/2 = 20, C+10 = 2B+2. From second eq: A+C=40, so A=40-C. From third eq: C = 2B - 8. Substitute in first: (40-C-3)/(B+5) = 3/4. Using C=2B-8: (40-2B+8-3)/(B+5) = 3/4, so (45-2B)/(B+5) = 3/4. Cross-multiply: 180-8B = 3B+15, so 165 = 11B, B = 15. Then C = 2(15)-8 = 22 years (option A).

Multiple choice

What is Priya’s present age? Statement I: Priya’s present age is 2/5 of her mother’s age. Statement II: Priya’s mother's age will be thrice Neha’s age after 5 years. Statement III: Neha’s seventeenth birthday was celebrated three years before.

  1. All three together are sufficient

  2. II and III together

  3. I and II together

  4. All three together are not sufficient

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

Statement III gives Neha's current age: her 17th birthday was 3 years ago, so she is now 20. Statement II gives the relationship: Mother's age after 5 years = 3 × Neha's age after 5 years = 3 × 25 = 75, so Mother is now 70. Statement I gives Priya = 2/5 × Mother's age = 2/5 × 70 = 28. All three statements together are necessary and sufficient to find Priya's age. No single statement or pair gives enough information.

Multiple choice

The sum of the present ages of a father and his son is 60 years. Six years ago, Father’s age was five times the age of the son. After 8 years, the son’s age will be:

  1. 14 years

  2. 16 years

  3. 22 years

  4. 20 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's current age = S and father's current age = F. Given: F + S = 60. Six years ago: (F - 6) = 5(S - 6). Substituting F = 60 - S: (54 - S) = 5S - 30, so 6S = 84 and S = 14. After 8 years, son's age = 14 + 8 = 22 years.

Multiple choice

The ratio of ages of A and B, 8 years ago, was (2: 3). Four years ago, the ratio of their ages was (5: 7). What will be the ratio of their ages 8 years from now?

  1. 4: 5

  2. 3: 4

  3. 7: 8

  4. 5: 6
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages 8 years ago be 2x and 3x, so current ages are 2x+8 and 3x+8. Four years ago, ages were 2x+4 and 3x+4, and the ratio was 5:7. So (2x+4)/(3x+4) = 5/7, giving 14x+28 = 15x+20, so x = 8. Current ages are 24 and 32. Eight years from now, ages will be 32 and 40, giving ratio 32:40 = 4:5. Option B (3:4) would result from incorrect age calculations, and Options C and D don't match the computed ratio.

Multiple choice

The age of a grandson is one-fifth the age of his grandfather. Twenty years later, the ratio of their ages would be (\frac{23}{35}). What is the present age (in years) of the grandson?

  1. 5

  2. 3

  3. 2

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

Let grandson's age = x, grandfather's age = 5x. After 20 years: (x+20)/(5x+20) = 23/35. Cross-multiply: 35(x+20) = 23(5x+20). 35x + 700 = 115x + 460. 80x = 240, so x = 3. Grandson is 3 years old, grandfather is 15. In 20 years they'll be 23 and 55, ratio = 23/55 ≠ 23/35. Wait, rechecking... Actually 5x+20 = 15+20 = 35, so ratio = 23/35. Correct!

Multiple choice

Aman is currently 5 years elder than Sangram. After four years, the ratio of their ages will be 5: 4 respectively, so what is the age (in years) of Aman at present?

  1. 12

  2. 16

  3. 25

  4. 21
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Sangram's present age = x. Then Aman's present age = x + 5. After 4 years: Aman's age = x + 9, Sangram's age = x + 4. Given ratio (x + 9)/(x + 4) = 5/4. Cross-multiply: 4x + 36 = 5x + 20. Solving: x = 16. Aman's present age = 16 + 5 = 21 years.

Multiple choice

When Lalu was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Lalu's brother is 6 years older than him and his mother is 3 years younger than his father, then what was Lalu's sister's age when he was born?

  1. 5 years

  2. 8 years

  3. 10 years

  4. 14 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When Lalu was born (age 0), his brother was 6 years older than him, so brother was 6 years old. Father was 32 years older than the brother, making father 6 + 32 = 38 years old. Mother is 3 years younger than father, so mother was 38 - 3 = 35 years old. Since mother was 25 years older than sister, sister's age = 35 - 25 = 10 years. This is a standard age difference problem requiring sequential application of given relationships.

Multiple choice

11.11\% of Anju’s age is equal to 66.67\% of Farah’s age, while 60\% of Farah’s age is equal to 20\% of Aman’s age. What is the ratio of the ages of Anju and Aman?

  1. 1: 1

  2. 4: 1

  3. 3: 1

  4. 2: 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Anju=A, Farah=F, Aman=M. Given: 11.11% A = 66.67% F. 11.11% = 1/9, 66.67% = 2/3. So (1/9)A = (2/3)F → A = 6F. Also: 60% F = 20% M. 60% = 3/5, 20% = 1/5. So (3/5)F = (1/5)M → M = 3F. Therefore A:M = 6F:3F = 2:1.

Multiple choice

Tushar is 7 years older than Anushika, after 4 years Anushika's age will be half of Tushar's age, then what will be the sum (in years) of their present age?

  1. 19

  2. 17

  3. 15

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

Let Anushika's present age = x years. Then Tushar's present age = x + 7 years. After 4 years: Anushika will be x + 4, Tushar will be x + 11. Given: x + 4 = (x + 11)/2. Solving: 2x + 8 = x + 11, giving x = 3. Present ages: Anushika = 3, Tushar = 10. Sum = 13 years.

Multiple choice

If the age of P is twice of that of Q, and after 5 years the sum of their ages is 70 years, then find the sum of their present ages (in years)?

  1. 40

  2. 30

  3. 50

  4. 60
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Q's present age be x years. Then P's present age is 2x years. After 5 years: (2x + 5) + (x + 5) = 70, which gives 3x + 10 = 70, so 3x = 60 and x = 20. Q's present age is 20 years, P's present age is 40 years. The sum of their present ages is 20 + 40 = 60 years. Option D is correct.