# Find The Age of Mother:

In a family, a couple has a son and a daughter. The age of their father is three times that of his daughter and the age of the son is half of his mother. The wife is 9 years younger to her husband to her husband and the brother is 7 years older than his sister. What is the age of the mother?

- 40 Years
- 50 Years
- 45 Years
- 60 Years

**Answer: (4) 60 years**

**Explanation:-**

Let be the age of daughter is X years.

Then, age of father = 3 X

The age of mother = 3 X – 9 years

The age of son = X + 7 years

Therefore, X + 7 = (3 X – 9)/2

2 (X + 7) = 3 X – 9

2 X + 14 = 3 X – 9

2 X – 3 X = – 9 – 14

– X = – 23

X = 23

Then, the age of mother = 3 X – 9 = 23 x 3 – 9

= 69 – 9

= 60 years

Hence, the age of mother is 60 years.