Question

If $\frac{2}{5x}-\frac{5}{3x}=\frac{1}{15}$, then the value of '$x$' is

• A. 19
• B. - 19
• C. 39
• D. 43

Answer 1

The correct option is B - 19

$\frac{2}{5x}-\frac{5}{3x}=\frac{1}{15}$

Multiplying both sides by $15x$ [$\because$ LCM of $5x$ and $3x$ is $15x$], we get

$\Rightarrow 15x\times \frac{2}{5x}-15x\times \frac{5}{3x}=15x\times \frac{1}{15}$
$\Rightarrow 6-25=x$
$\Rightarrow x=-19$

So, the value of $x$ is $-19$.