Average age of 35 students in a class is 16, years. average age of 21 students is 14 average age of

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The average age of $35$ students in a class is $16\, years.$ The average age of $21$ students is $14$ What is the average age of remaining $14$ students ?(in $years$)

A

$15$

B

$17$

C

$18$

D

$19$

Solution

Average age of $35$ students $=16$

Average age of $21$ students $=14$

$\therefore$ Average age of remaining $14$ students $=\frac{35 \times 16-21 \times 14}{14}$

$=5 \times 8-21=40-21=19$ years

Standard 13

Quantitative Aptitude

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