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

4 years ago ratio of age of Rishi and Aman was 1 : 2. 2 year hence ratio of their age will be 5 : 7 respectively. Find the ratio of their present age.

  1. 2 : 3

  2. 3 : 2

  3. 4 : 3

  4. 3 : 4

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

Let ages 4 years ago be x and 2x. Present ages: (x+4) and (2x+4). In 2 years: (x+6)/(2x+6) = 5/7. Cross-multiply: 7x+42 = 10x+30, giving x=4. Present ratio = (4+4):(8+4) = 8:12 = 2:3. Options B, C, D are incorrect ratio calculations.

Multiple choice

The present age of R is twice that of his son. Six years hence the ratio of their ages will be 23 : 13. What is the present age of his son? R की वर्तमान आयु उसके पुत्र की आयु का दोगुना है | 6 वर्ष बाद, उनकी आयु का अनुपात 23 : 13 हो जाएगा | उसके पुत्र की वर्तमान आयु क्या है ?

  1. 17 years/वर्ष

  2. 19 years/वर्ष

  3. 20 years/वर्ष

  4. 21 years/वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's age = x, R's age = 2x. After 6 years: (2x + 6)/(x + 6) = 23/13. Cross-multiply: 13(2x + 6) = 23(x + 6) → 26x + 78 = 23x + 138 → 3x = 60 → x = 20. Son is 20 years old. Options A (17), B (19), D (21) are incorrect.

Multiple choice

The ratio of the present age of Rahul and Deepak is (2 : 1). The ratio of their age after 30 years will be (7 : 6). What is the present age of Rahul?

  1. 15 years

  2. 12 years

  3. 20 years

  4. 18 years

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

Let Rahul's present age = 2x, Deepak's present age = x. After 30 years: Rahul = 2x + 30, Deepak = x + 30. Given (2x + 30)/(x + 30) = 7/6. Cross-multiplying: 6(2x + 30) = 7(x + 30), so 12x + 180 = 7x + 210, giving 5x = 30, x = 6. Rahul's present age = 2x = 12 years.

Multiple choice

A father tells his son, \"When you were born I was two years more than your present age\" If the father's age is 36 years now. What was the age of his son 5 years ago?

  1. 14 years

  2. 12 years

  3. 13 years

  4. 16 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's current age be S. Father's current age F = 36. When son was born (S years ago), father's age was F - S. According to the problem, F - S = S + 2. Substituting F = 36: 36 - S = S + 2, which gives 2S = 34, so S = 17. The son's current age is 17, therefore 5 years ago he was 17 - 5 = 12 years old. Option B is correct.

Multiple choice

The average age of P and Q is 28 years. The ratio of their ages is 5 : 2. What will be the ratio of their ages after 4 years? P और Q की औसत आयु 28 वर्ष है। उनकी आयु में अनुपात 5 : 2 है। 4 वर्ष बाद उनकी आयु में क्या अनुपात होगा?

  1. 11 : 5

  2. 7 : 5

  3. 2 : 1

  4. 11 : 4
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sum of ages = 2 × 28 = 56. Ratio = 5:2, so P = (5/7) × 56 = 40 years, Q = (2/7) × 56 = 16 years. After 4 years: P = 44, Q = 20. New ratio = 44:20 = 11:5.

Multiple choice

The age of my father is 4 times of my age. The age of my father was 9 times of my age five years ago. Find the sum of my age and my father's age. मेरे पिता की आयु मेरी आयु की चार गुना है | 5 वर्ष पहले, मेरे पिता की आयु मेरी आयु का 9 गुना थी | मेरी आयु और मेरे पिता की आयु का योग ज्ञात कीजिये |

  1. 40

  2. 35

  3. 50

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

Let father's current age be F and child's current age be C. Given F = 4C and (F-5) = 9(C-5). Substituting: 4C-5 = 9C-45, which gives 5C = 40, so C = 8 and F = 32. Their sum is 40. This age problem requires solving simultaneous linear equations based on two time points.

Multiple choice

At present the age of Ram and Shyam is in the ratio of ( 5 : 4 ). After 3 years the ratio will become ( 11 : 9 ). Find out the present age of Shyam :

  1. 28

  2. 27

  3. 26

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

Let ages be 5x and 4x. After 3 years: (5x+3)/(4x+3) = 11/9. Cross-multiplying: 9(5x+3) = 11(4x+3) → 45x+27 = 44x+33 → x = 6. Shyam's present age = 4(6) = 24. Check: Ram=30, Shyam=24 → 30/24 = 5/4. After 3 years: 33/27 = 11/9. Option B gives 27 (Ram's age, not Shyam's).

Multiple choice

Three years ago ratio of age of Ankita and Rohan was 7 : 4 which becomes 5 : 3 one years hence. Find the sum of this present ages.

  1. 82 years

  2. 94 years

  3. 98 years

  4. 102 years

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

Three years ago, Ankita:Rohan = 7:4. So (A-3)/(R-3) = 7/4, giving 4(A-3) = 7(R-3), so 4A - 12 = 7R - 21, therefore 4A - 7R = -9. One year hence (meaning one year from now), Ankita:Rohan = 5:3. So (A+1)/(R+1) = 5/3, giving 3(A+1) = 5(R+1), so 3A + 3 = 5R + 5, therefore 3A - 5R = 2. Solving: From second eq, 3A = 5R + 2, so A = (5R + 2)/3. Substituting in first: 4(5R + 2)/3 - 7R = -9, so (20R + 8)/3 - 7R = -9, so 20R + 8 - 21R = -27, so -R + 8 = -27, therefore R = 35. Then A = (5×35 + 2)/3 = 177/3 = 59. Sum = 59 + 35 = 94 years. This matches option B.

Multiple choice

The respective ratio between the present ages of A and B is (3 : 4) and that of B and C is (6 : 5). 9 years ago, the sum of the ages of A and C was 58 years. Find present age of B.

  1. 36 years

  2. 48 years

  3. 45 years

  4. 30 years

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

A:B = 3:4 and B:C = 6:5. Making B equal: A:B = 9:12 and B:C = 12:10, so A:B:C = 9:12:10. 9 years ago, A + C = 58, so 9x + 10x = 58, giving x = 2.81. Current ages: A = 9(2.81) + 9 ≈ 34.3, B = 12(2.81) + 9 ≈ 42.7. However, solving differently: Let current ages be 9k, 12k, 10k. Then 9k + 10k - 18 = 58, so 19k = 76, k = 4. B = 12(4) = 48 years. The answer is correct.

Multiple choice

The sum of the present ages of P and Q is 52 years. After 2 years Q’s age will be 2 years more than R’s age then. If P is younger than R by 6 years, find the age of Q 6 years ago.

  1. 20 years

  2. 22 years

  3. 24 years

  4. 25 years

  5. 28 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Q's present age be q and R's present age be r. The statement 'After 2 years Q's age will be 2 years more than R's age then' means q + 2 = (r + 2) + 2, which simplifies to q = r + 2. P is younger than R by 6 years, so p = r - 6. The sum of present ages of P and Q is 52, so p + q = 52. Substituting: (r - 6) + (r + 2) = 52, giving 2r - 4 = 52, so 2r = 56 and r = 28. Then q = r + 2 = 30. Q's age 6 years ago = 30 - 6 = 24 years.

Multiple choice

The average age of 6 sons in a family is 8 years, average age of sons and parents is 22 years. If father is 8 years older than the mother, then find the age of the father after 13 years.

  1. 81 years

  2. 75 years

  3. 72 years

  4. 68 years

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

Total age of 6 sons = 6 × 8 = 48 years. Total age of 8 people (sons + parents) = 8 × 22 = 176 years. Parents' combined age = 176 - 48 = 128 years. Given father is 8 years older: Let mother = m, father = m + 8. Then 2m + 8 = 128, so m = 60. Father = 68. After 13 years: 68 + 13 = 81 years. Option A is correct.

Multiple choice

The ratio of present age of Sita and Her son is (5 : 2) respectively. Seven year hence, the ratio will be (2 : 1). what was the age of Sita When her son was born ?

  1. 28 years

  2. 35 years

  3. 21 years

  4. data insufficient

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

Let Sita's present age be 5x and her son's present age be 2x. After 7 years: (5x+7)/(2x+7) = 2/1. Cross-multiplying: 5x+7 = 2(2x+7) = 4x+14. So 5x+7 = 4x+14, which gives x = 7. Son's present age = 2x = 14 years. When the son was born (14 years ago), Sita was 5x - 14 = 35 - 14 = 21 years old.

Multiple choice

Manisha's father was 42 years of age when she was born while her mother was 38 years old when her brother 3 years younger than her was born. What is the difference between the ages of her parents?

  1. 7 years

  2. 8 years

  3. Data insufficient

  4. 6 years

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

Father was 42 when Manisha was born. Mother was 38 when her brother (who is 3 years younger than Manisha) was born. This means mother was 38-3 = 35 when Manisha was born. The age difference between parents is 42 - 35 = 7 years.

Multiple choice

Ritwik's father was 30 years old when he was born. His mother's age was 24 when his sister who is 5 years younger to him, was born. What is the difference between the age of Ritwik's father and mother?

  1. 8

  2. 10

  3. 6

  4. 11

  5. 9
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When Ritwik was born, father was 30. When sister (5 years younger) was born, Ritwik was 5 and father was 35. At sister's birth, mother was 24. Father-mother age difference = 35 - 24 = 11 years. This difference remains constant. Option D is correct.