Question

If $\frac{x}{2}+\frac{x}{3}=5$ then $x=$

Answer 1

Compute the required value.

Given : $\frac{x}{2}+\frac{x}{3}=5$.

Take LCM of the denominators on the left-hand side., we get

LCM $(2,3)=6$

$$\begin{gathered} \mathrm{So},\frac{3x+2x}{6}=5 \\ \Rightarrow \frac{5x}{6}=5 \end{gathered}$$

Divide both sides by $5$.

$\Rightarrow \frac{x}{6}=1$

Multiply both sides by $6$.

$\Rightarrow x=6$

Hence, the value of $x$ is $6$.