Question

Mark (✓) against the correct answer

If $\frac{x}{2}-1=\frac{x}{3}+4,$ then x = ?

(a) 8
(b) 16
(c) 24
(d) 30

Answer 1

$\begin{array}{l}\left(\text{d}\right)30\\ \text{We have:}\\ \frac{x}{2}-1=\frac{x}{3}+4\\ \Rightarrow \frac{x-2}{2}=\frac{x+12}{3}\\ \Rightarrow 3(x-2)=2(x+12)\\ \Rightarrow 3x-6=2x+24\\ \Rightarrow 3x-2x=24+6\\ \Rightarrow x=30\end{array}$