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 ?
40 years
45 years
50 years
60 years
Explanation:
Let the daughters age be x years.
Then, fathers age = (3x) years.
Mothers age = (3x – 9) years; Sons age = (x + 7) years.
So, x + 7 = (3x-9)/2 2x + 14 = 3x – 9 x = 23.
Therefore Mothers age = (3X – 9) = (69 – 9) years = 60 years.
Let the daughters age be x years.
Then, fathers age = (3x) years.
Mothers age = (3x – 9) years; Sons age = (x + 7) years.
So, x + 7 = (3x-9)/2 2x + 14 = 3x – 9 x = 23.
Therefore Mothers age = (3X – 9) = (69 – 9) years = 60 years.