Question

The average (arithmetic mean) of $6,19$ and $x$ is $19$. What is the value of $x$?

• A. $19$
• B. $25$
• C. $31$
• D. $32$
• E. $57$

Answer 1

The correct option is D $32$

Given that

Average of $(6$, $19$ and $x)$ $=$ $19$

Average of $(6$, $19$ and $x)$ $=$ $\frac{(6+19+x)}{3}$

$19$ $=$ $\frac{(25+x)}{3}$

$3$ $\times$ $19$ $=$ $25$ $+$ $x$

Rearranging the terms, we get

$x$ $=$ $57$ $-$ $25$

$x$ $=$ $32$

Therefore, the value of $x$ is ${}^{\prime }{32}^{\prime }$.