The average age of a group of 15 students is | vedclass

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(C) Initial number of students $= 15$.Initial average age $= 10 \, 	ext{years}$.Total age of $15$ students $= 15 	imes 10 = 150 \, 	ext{years}$.Whe

Vedclass · Accepted Answer

$14$

Vedclass · Answer

(C) Initial number of students $= 15$.Initial average age $= 10 \, 	ext{years}$.Total age of $15$ students $= 15 	imes 10 = 150 \, 	ext{years}$.When $5$ more students join,the total number of students becomes $15 + 5 = 20$.The new average age becomes $10 + 1 = 11 \, 	ext{years}$.Total age of $20$ students $= 20 	imes 11 = 220 \, 	ext{years}$.Total age of the $5$ new students $= 220 - 150 = 70 \, 	ext{years}$.Average age of the $5$ new students $(x)$ $= \frac{70}{5} = 14 \, 	ext{years}$.

The average age of a group of $15$ students is $10 \, \text{years}$. When $5$ more students joined the group,the average age increased by $1 \, \text{year}$. If the average age of the $5$ new students is $x$,find the value of $x$ (in $\text{years}$).

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