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 the average age of a family which includes father, mother and a son was 24 years. 3 years hence the average age of father and mother age will be 40 years. What is the present age (in years) of the son?

  1. 12

  2. 8

  3. 10

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

4 years ago, family total = 24 × 3 = 72. Present total = 72 + 12 = 84. In 3 years, parents' average = 40, so parents' sum then = 80. Parents' present sum = 80 - 6 = 74. Son's present age = 84 - 74 = 10 years. Option C is correct.

Multiple choice

15 months ago Tuhin's age was equal to three times the age of Sambit, who is 6 months older than Soumik. After 5 months from today Tuhin's age will be equal to 2.5 times Soumik's age. What is the sum of his present age?

  1. 15 years 5 months

  2. 15 years 11 months

  3. 15 years 7 months

  4. 15 years 9 months
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be T (Tuhin), S (Sambit), M (Soumik). Given: S = M + 0.5. 15 months ago: T-1.25 = 3(S-1.25). In 5 months: T+0.417 = 2.5(M+0.417). Solving gives T+S+M = 15.75 years = 15 years 9 months.

Multiple choice

The difference between the ages of two brothers is 8 years when father’s age is 54. Father is elder by two years to mother. Younger brother’s age is half of mother’s age. Find the age of elder brother.

  1. 34

  2. 26

  3. 28

  4. 32
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let younger brother = y, elder brother = e (e = y + 8). Mother = 2y (younger is half of mother). Father = 54, mother = 52 (father is 2 years older). So 2y = 52, y = 26. Younger brother is 26, so elder brother = 26 + 8 = 34. All conditions are satisfied: difference is 8, father-mother age difference is 2, and younger is half of mother's age.

Multiple choice

Rahul is 6 years older than his sister and four times as old as his brother. If the brother becomes 25 years old after 5 years. Then what is the present age of Rahul?

  1. 74 years

  2. 69 years

  3. 64 years

  4. 80 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let brother's present age = x. After 5 years, brother's age = x + 5 = 25, so x = 20. Rahul is four times as old as his brother: Rahul = 4 × 20 = 80 years. Also check: Rahul is 6 years older than sister (80 = sister + 6, so sister = 74), and 80 is indeed four times 20. All conditions are satisfied.

Multiple choice

Ratio of age of Sanjay and Arjun 6 years ago was (4:5), ratio of their age 9 years hence becomes (9:10). Find the sum of their present age. (in years)

  1. 36

  2. 39

  3. 42

  4. 45
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be S and A. Six years ago: (S-6)/(A-6) = 4/5, so 5S-30 = 4A-24, or 5S-4A = 6. Nine years hence: (S+9)/(A+9) = 9/10, so 10S+90 = 9A+81, or 10S-9A = -9. Solving: From first eq, S = (6+4A)/5. Substituting in second: 10(6+4A)/5 - 9A = -9, which gives 12+8A-9A = -9, so A = 21. Then S = (6+84)/5 = 18. Present sum = 18+21 = 39 years. Option A (36) is too low, C (42) and D (45) are too high.

Multiple choice

Father's age is 5 years more than mother's age. Mother's present age is three times her daughter's age. The present age of the daughter is 12 years. What was the age of the father when the daughter was born?

  1. 32 years

  2. 25 years

  3. 29 years

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

Daughter's present age = 12. Mother's age = 3 × 12 = 36 years. Father's age = 36 + 5 = 41 years. Father's age when daughter was born = 41 - 12 = 29 years. Option C is correct.

Multiple choice

What is the ratio of the ages of Ravina and Shivani? Statement I: 6 years ago their ages were in the ratio 3: 4. Statement II: After 2 years the younger one’s age will be 85% that of the older. Statement III: The sum of their ages is three less than twice the age of the older.

  1. Only I and III

  2. Any two of them

  3. Only I and II

  4. All together are required

  5. Any one of them is required
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R and S be ages. I and II give 4R-3S=6 and R=0.85S-0.3, solving to R=15, S=18 (ratio 5:6). I and III give 4R-3S=6 and R=S-3, solving to R=15, S=18. II and III give R=0.85S-0.3 and R=S-3, solving to R=15, S=18. Any two statements give the same ratio.

Multiple choice

The ratio of present ages of A and B is 7: 5. After 26 years the ratio of their ages will be in ratio 10: 9. At present, what is the age of B?

  1. 5

  2. 10

  3. 24

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

Let present ages be 7x and 5x. After 26 years: (7x+26)/(5x+26) = 10/9. Cross-multiply: 63x+234 = 50x+260, so 13x=26 and x=2. B's present age = 5x = 10 years. Option A (5) is 5x which would be the answer if x=1, not the actual age. Option D (14) would be correct if B's age were 14 when the ratio is 7:5, but solving shows x=2.

Multiple choice

Seven years ago, the ratio of the age of A to that of B, was 5: 9. C is 12 years older than A and 12 years younger than B. What is C’s present age?

  1. 47 years

  2. 49 years

  3. 41 years

  4. 43 years

  5. 54 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A and B be present ages. 7 years ago: (A-7)/(B-7)=5/9, so 9(A-7)=5(B-7), giving 9A-63=5B-35, or 9A=5B+28. C is A+12 and also B-12, so A+12=B-12, giving B=A+24. Substituting: 9A=5(A+24)+28=5A+120+28=5A+148, so 4A=148, A=37. C=A+12=37+12=49. C is 49 years old.