Three year ago, average age of a family of five members was 27 ,year. present average age is also 27

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Three year ago, the average age of a family of five members was $27 \,year.$ The present average age is also $27 \,year$ after the inclusion of a child into the family. Find the age of the child in $year$ ?

A

$16$

B

$12$

C

$24$

D

$20$

Solution

Total Present age of family of $5$ members $=27 \times 5+3 \times 5=135+15=150$ years

Total present age of a family including child $=27 \times 6=162$ years

age of a child $=162-150=12$ years.

Standard 13

Quantitative Aptitude

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