Three years ago average age of a family of 5 members was 17, years. With birth of a new baby, averag

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Three $years$ ago the average age of a family of $5$ members was $17\, years.$ With the birth of a new baby, the average remains the same three even today. Find out the age of the baby.(in $years$)

A

$1$

B

$3$

C

$2 \frac{1}{2}$

D

$2$

Solution

Present age of $5$ members

$=(5 \times 17+3 \times 5)$ years.

$=100$ years.

Present age of $5$ members and a baby $=17 \times 6=102$ years.

$\therefore$ Age of the baby $=(102-100)$ years. $=2$ years.

Standard 13

Quantitative Aptitude

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