Average of three consecutive odd numbers is 52 more than frac{1}{3} ^{rd} of largest of these number

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The average of three consecutive odd numbers is $52$ more than $\frac{1}{3}$$^{rd}$ of the largest of these numbers. What is the smallest of these numbers ?

A

$79$

B

$77$

C

$81$

D

$75$

Solution

$\frac{x+x+2+x+4}{3}-\frac{1}{3}(x+4)=52$

$3 x+6-x-4=52 \times 3$

$2 x+6=156$

$2 x=150$

$x=75$

Standard 13

Quantitative Aptitude

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