Question

Q73. A couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is nine years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?

• A. (a) 40 years
• B. (b) 45 years
• C. (c) 50 years
• D. (d) 60 years

Answer 1

The correct option is D

(d) 60 years

Let daughter's age = x

Father's age = 3x

Wife's age = 3x — 9

Son's age = x + 7

According to question 1

Son's age = 1/2 mother's age

x+ 7 =1-2 (3x — 9)

x = 23

Wife's age = 3x - 9

= 69 - 9

= 60 years