Question

If $100\frac{\sqrt{25}}{\sqrt{25}+x}=50$, then the value of $x$ is

• A. $25$
• B. $\frac{1}{\sqrt{25}}$
• C. $\sqrt{25}$
• D. $\frac{1}{25}$

Answer 1

The correct option is C $\sqrt{25}$

Given, $\frac{100\sqrt{25}}{\sqrt{25}+x}=50$
$\Rightarrow \frac{100\times 5}{5+x}=50$
$\Rightarrow 500=250+50x$
$\Rightarrow 50x=250$
$\Rightarrow x=\frac{250}{50}=5=\sqrt{25}$