Question

The average of $x,y,$ and $z$ is $45.$ $x$ is as much more than the average as $y$ is less than the average. Then the value of $z$ is

• A. $25$
• B. $45$
• C. $35$
• D. $60$

Answer 1

The correct option is B $45$

Since average of $x,y,$ and $z$ is $45$
$\therefore$ $x+y+z=45\times 3=135\dots \left(1\right)$
Also given that, $x-45=45-y$
$\Rightarrow x+y=90\dots \left(2\right)$
From equations $\left(1\right)$ and $\left(2\right)$
$90+z=135$
$\Rightarrow z=45$