In a family a couple has a son and a daughter The age of the father is three times that of his daugh...........

Logical Reasoning(Master ) Arithmetical Reasoning

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

70 years

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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.