Sum of three consecutive odd numbers is 38 more than average of these numbers. first of these number

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The sum of three consecutive odd numbers is $38$ more than the average of these numbers. What is the first of these numbers

A

$13$

B

$17$

C

$19$

D

$15$

Solution

Let $(x-2), x,(x+2)$ be the numbers.

Sum of numbers $=x-2+x+x+2=3 x$

Average of numbers $=\frac{3 x}{3}=x$

$3 x=x+38$

$2 x=38$

$x=19$

First number $=19-2=17$

Standard 13

Quantitative Aptitude

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