Question

Question 75

Solve the following:

$m-\frac{m-1}{2}=1-\frac{m-2}{3}$

Answer 1

Given, $m-\frac{m-1}{2}=1-\frac{m-2}{3}$
$\Rightarrow \frac{2m-(m-1)}{2}=\frac{3-(m-2)}{3}$
$\Rightarrow 3(2m-m+1)=2(3-m+2)$ [By cross multiplication]
$\Rightarrow 3(m+1)=2(5-m)$
$\Rightarrow 3m+3=10-2m$
$\Rightarrow 3m+2m=10-3$
$\Rightarrow 5m=7$
$\therefore m=\frac{7}{5}$