1.  In a family, 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 that of his mother. The wife is 9 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

Answer: Option D

Explanation:

Let the daughter's age be x years.

Then, father's age = (3x) years.

Mother's age = (3x - 9) years; Son's age = (x + 7) years.

So, x + 7 = (3x-9)/2 2x + 14 = 3x - 9 x = 23.

Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.