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The average age of a family of father, mother and 2 children is 26 years. If the sum of the ages of the father and the children is 62 years, find the
Question

The average age of a family of father, mother and 2 children is 26 years. If the sum of the ages of the father and the children is 62 years, find the age of the mother.

A.

42 years

B.

30 years

C.

26 years

D.

45 years

Correct option is A

Given:
there are 4 members (father, mother, and 2 children).
The average age of the family = 26 years,
The sum of the ages of the father and the 2 children = 62 years.
Solution : 
So, the total age of the family is:
Total age  =   26×4=10426 \times 4 = 104 years.
Age of the mother
Mother's age = Total age of the family - (Age of father + 2 children)
 = 104 - 62
= 42 years 
Thus , the age of the mother is 42 years.

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