Question

Solve each of the following equation and also verify your solution:
$\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=13$

Answer 1

$$\begin{gathered} \frac{\mathrm{x}}{2}+\frac{\mathrm{x}}{3}+\frac{\mathrm{x}}{4}=13 \\ \Rightarrow \frac{\mathrm{x}\times 6+\mathrm{x}\times 4+\mathrm{x}\times 3}{12}=13 \\ \Rightarrow \frac{13\mathrm{x}}{12}=13 \\ \Rightarrow \mathrm{x}=13\times \frac{12}{13}=12 \\ \mathrm{Verification}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=\frac{12}{2}+\frac{12}{3}+\frac{12}{4}=6+4+3=13=\mathrm{R}.\mathrm{H}.\mathrm{S}. \end{gathered}$$