Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, the age of mother (in years) is :
Options:
A . 52
B . 44
C . 68
D . 60
Answer: Option D Answer: (d)Let the mother’s age = x years ∴ Father’s age = (x + 8) years Sum of age of 6 sons = 8 × 6 = 48 years Sum of age of 6 sons and parents = 22 × 8 = 176 years. ∴ Age of Parents = 176 – 48 = 128 years⇒ x + x + 8 = 128 ⇒ 2x = 120 ⇒ x = 60 Hence, mother’s age = 60 years
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