Question

Solve the following linear equation:

$\frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$

Answer 1

$\frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$

On taking LCM on both sides and on solving, we get

$$\begin{gathered} \frac{6n-9n+10n}{12}=21 \\ \Rightarrow \frac{16n-9n}{12}=21 \\ \Rightarrow 7n=21\times 12 \\ \Rightarrow n=\frac{252}{7} \\ \Rightarrow n=36 \end{gathered}$$

Hence, $\mathit{n}\mathbf{}\mathbf{=}\mathbf{}\mathbf{36}$ is the solution of given equation.