Gujarati
Hindi
4.Average
medium

The average age of a graph of $9$ students is $20\, years.$ When $6$ more students joined the group, the average age falls by $2\, years.$ Then the average age of new students is

A

$20$

B

$18$

C

$19$

D

$15$

Solution

Average age of new student $=$

$\frac{Old\, Number \,of \,student \,\times \,Old\, average \,of \,students \,- \,New \,average \,\times \,New \,number\, of \,students}{Number \,of \,New \,students}$

$=\frac{9 \times 20-18 \times 15}{6}=\frac{180-270}{6}=\frac{90}{6}=15$ years

Std 13
Quantitative Aptitude

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