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 -

A. 44

B. 52

C. 60

D. 68

Answer: Option C

Solution(By Examveda Team)

Sum of ages of 6 sons of a family = 8 × 6 = 48
Sum of ages of 6 sons and their parents = 8 × 22 = 176
Parents's age = 176 - 48 = 128
Father's age - Mother's age = 8
x - y = 8
x + y = 128
x = 68
y = 60
∴ Mother's age = 60 years