Problems on Ages Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 16
Medium
Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:
A 34 years
B 36 years
C 38 years
D 40 years
Correct Answer: C

Explanation:

Let age at marriage be M. Present age = M + 8 = (6/5)M => (1/5)M = 8 => M = 40 years. Rajan's present age = 48 years. Since his sister is always 10 years younger than him, her present age = 48 - 10 = 38 years.
Question 17
Medium
The sum of the ages of a daughter and her mother is 56 years. After 4 years, the age of the mother will be three times that of the daughter. At present their ages are ?
A 10 and 46 years
B 12 and 44 years
C 14 and 42 years
D 16 and 40 years
Correct Answer: B

Explanation:

Sum of ages in 4 years = 56 + (4 × 2) = 64 years. Ratio Mother : Daughter = 3 : 1 (total 4 parts). 1 part = 64 / 4 = 16 years. In 4 years: Daughter = 16, Mother = 48. Present ages: Daughter = 16 - 4 = 12 years; Mother = 48 - 4 = 44 years.
Question 18
Medium
Ten years ago, a man was seven times as old as his son. Two years hence, twice his age will be equal to five times the age of his son. What is the present age of the son ?
A 12 years
B 14 years
C 16 years
D 18 years
Correct Answer: B

Explanation:

Let ages 10 years ago be son = s, father = 7s. Time gap to 2 years hence = 12 years. 2(7s + 12) = 5(s + 12) => 14s + 24 = 5s + 60 => 9s = 36 => s = 4. Son's present age = 4 + 10 = 14 years.
Question 19
Medium
Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence?
A 15 years
B 20 years
C 25 years
D 30 years
Correct Answer: B

Explanation:

Sachin's age 10 years hence = 40 years => Sachin's present age = 40 - 10 = 30 years. Sachin's age 10 years ago = 30 - 10 = 20 years. Since Sachin was twice as old as Ajay 10 years ago: Ajay's age 10 years ago = 20 / 2 = 10 years. Ajay's present age = 10 + 10 = 20 years.
Question 20
Medium
The ratio between the present ages of A and B is 5 : 3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1 : 1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
A 2 : 1
B 3 : 1
C 4 : 1
D 5 : 2
Correct Answer: B

Explanation:

Let present ages be 5x and 3x. (5x - 4) / (3x + 4) = 1/1 => 5x - 4 = 3x + 4 => 2x = 8 => x = 4. A = 20, B = 12. Required ratio = (20 + 4) / (12 - 4) = 24 / 8 = 3 : 1.