Question

The value of $x$ satisfying the equation $(\frac{x}{3}+\frac{x}{4}-\frac{x}{6}=5)$ is

• A. $x=12$
• B. $x=24$
• C. $x=32$
• D. $x=22$

Answer 1

The correct option is A $x=12$

From question

$\frac{x}{3}+\frac{x}{4}-\frac{x}{6}=5$

$\Rightarrow x\left(\begin{array}{c}\frac{1}{3}+\frac{1}{4}-\frac{1}{6}\end{array}\right)=5$

$\Rightarrow x\left(\begin{array}{c}\frac{3+4-2}{12}\end{array}\right)=5$

$x=5\times \frac{12}{5}$

$x=12$