Solve each of the following equation and also verify your solution:
Question:

Solve each of the following equation and also verify your solution:

$\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=13$

Solution:

$\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=13$

$\Rightarrow \frac{\mathrm{x} \times 6+\mathrm{x} \times 4+\mathrm{x} \times 3}{12}=13$

$\Rightarrow \frac{13 \mathrm{x}}{12}=13$

$\Rightarrow \mathrm{x}=13 \times \frac{12}{13}=12$

Verification :

L. H.S. $=\frac{12}{2}+\frac{12}{3}+\frac{12}{4}=6+4+3=13=$ R.H.S.