Question

If $\frac{x}{2}+\frac{x}{8}=\frac{1}{8}$,then the value of $x$ is-

• A. $-\frac{1}{5}$
• B. $\frac{1}{5}$
• C. $1$
• D. $5$

Answer 1

The correct option is B $\frac{1}{5}$

$\frac{x}{8}+\frac{x}{8}=\frac{1}{8}$
$\Rightarrow$ $\frac{4x+x}{8}=\frac{1}{8}$
$\Rightarrow$ $\frac{5x}{8}=\frac{1}{8}$
$\Rightarrow$ $\frac{5x}{8}=\frac{1}{8}$
$\Rightarrow$ $5x=1$
$\Rightarrow$ $x=\frac{1}{5}$