In a family, a couple has a son and 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) 40 years (b) 45 years (c) 50 years (d) 60 years
(d) Let the mother’* age be y years.
∴ The age of father = (y + 9) years
The age of son = y/2 years
The age of daughter = (y/2-7) years
Now according to the given condition,
⇒ 2y + 18 = 3y – 42
⇒ y = 60 years
