Average age of a family of 6 members is 22, years. If age of youngest member be 7, years, then what

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The average age of a family of $6$ members is $22\, years.$ If the age of the youngest member be $7\, years,$ then what was the average age of the family at the birth of the youngest member?

A

$18$

B

$15$

C

$13$

D

$26$

Solution

Total age of a family of $6$ members $=22 \times 6=132$ years

Total age of the family at birth of youngest member

$=132-7 \times 6=132-42=90$ years

Average age $=\frac{90}{5}=18$ years.

Standard 13

Quantitative Aptitude

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