Quantitative Aptitude Ques 54

Question: Average age of 6 sons of a family is 8 yr. Average age of son together with their parents is 22 yr. If father is older than the mother by 8 yr, then the age of mother is

Options:

A) 44 yr

B) 52 yr

C) 60 yr

D) 68 yr

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the mother’s age be x yr.

$ \therefore $ Father’s age $ =(x+8),yr $ Average age of 6 sons = 8 yr

$ \therefore $ Sum of ages of 6 sons $ =8\times 6=48,yr $ Sum of age of 6 sons and parents $ 22\times 8=176 $

$ \therefore $ Sum of age of parents $ 176-48=128,yr $ According to the question, $ x+x+8=128 $

$ \Rightarrow $ $ 2x=120 $
$ \Rightarrow $ $ x=60 $

$ \therefore $ Mother’s age = 60 yr

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