Average of nine numbers is 50. average of first five numbers is 54 and that of last three numbers is

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The average of nine numbers is $50.$ The average of the first five numbers is $54$ and that of the last three numbers is $52 .$ Then the sixth number is?

A

$34$

B

$24$

C

$44$

D

$30$

Solution

The sum of $9$ numbers $=9 \times 50=450$

Sixth number $=$ sum of $9$ numbers $-($ Sum of first $5$ numbers $+$ sum of last $3$ numbers)

$=450-(54 \times 5+52 \times 3)$

$=450-(270+156)$

$=450-426$

$=24$

Standard 13

Quantitative Aptitude

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