Problems on Ages Practice Questions

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

Question 11
Medium
The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son. What is the present age of the son ?
A 18 years
B 20 years
C 22 years
D 24 years
Correct Answer: B

Explanation:

Let son's age = s, mother's age = 2s. 10 years ago: 2s - 10 = 3(s - 10) => 2s - 10 = 3s - 30 => s = 20 years.
Question 12
Medium
A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is:
A 40 years
B 44 years
C 48 years
D 52 years
Correct Answer: B

Explanation:

Let son = s, father = 2s. 20 years ago: 2s - 20 = 12(s - 20) => 2s - 20 = 12s - 240 => 10s = 220 => s = 22. Father's age = 2 * 22 = 44 years.
Question 13
Medium
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
A 10 years
B 12 years
C 14 years
D 16 years
Correct Answer: B

Explanation:

Given: (A + B) = (B + C) + 12 => A + B - B - C = 12 => A - C = 12 years.
Question 14
Medium
If 6 years are subtracted from the present age of Gulzar and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Mahesh whose age is 5 years, then what is the present age of Gulzar?
A 54 years
B 60 years
C 66 years
D 72 years
Correct Answer: B

Explanation:

Mahesh's age = 5 years. Anup's age = 5 - 2 = 3 years. According to question: (Gulzar - 6) / 18 = 3 => Gulzar - 6 = 54 => Gulzar = 60 years.
Question 15
Medium
The average age of five members of a family is 21 years. If the age of the grandfather be included, the average is increased by 9 years. The age of the grandfather is:
A 70 years
B 75 years
C 80 years
D 85 years
Correct Answer: B

Explanation:

Total age of 5 members = 5 × 21 = 105 years. When grandfather is included, new average = 21 + 9 = 30 years for 6 members. Total age of 6 members = 6 × 30 = 180 years. Grandfather's age = 180 - 105 = 75 years.