In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18, year

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In a class, there are $20$ boys whose average age is decreased by $2$ $months,$ when one boy aged $18\, years$ in replaced by a new boy. The age of the new boy is

A

$14$ years and $8$ months

B

$15$ years

C

$16$ years and $4$ months

D

$17$ years and $10$ months

Solution

Total decrease $=(20 \times 2)$ months

$=3$ years $4$ months

$\therefore$ Age of the new boy $=18$ years $-$ $3$ years 4 months

$=14$ years $8$ months.

Standard 13

Quantitative Aptitude

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