Question

Solve the linear equation: $\frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$

Answer 1

$\frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$
L.C.M. of the denominators, $2, 4$, and $6$, is $12$.
Multiplying both sides by $12$, we obtain
$6n - 9n + 10n = 252$
$\Rightarrow$ $7n = 252$
$\Rightarrow$ $n = \frac{252}{7}$
$\Rightarrow$ $n = 36$