Of 3 members whose average is 22 . first number ?

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4.Average

hard

Of the $3$ members whose average is $22 .$ What is the first number ?

A

$16$

B

$20$

C

$22$

D

$18$

Solution

Sum of $3$ Numbers $=22 \times 3=66$

Let the Sum of $2^{\text {nd }}$ and third No. be $x$

$\therefore 1^{\text {st }}$ Number $\frac{3}{8} x$

$\frac{3}{8} x+x=66$

$3 x+8 x=66 \times 8$

$11 x=528$

$x=48$

$\therefore$ The first Number is $\frac{3}{8} \times 48=18$

Standard 13

Quantitative Aptitude

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