Question

When a number is divided by $4$ and $12$ subtracted from it, the result is $\frac{1}{6}$ of the number. What is the number?

• A. $128$
• B. $132$
• C. $144$
• D. $108$

Answer 1

The correct option is C $144$

Let the number be $x$.

As per given question, the following equation can be formed.
$\frac{x}{4}-12=\frac{1}{6}x$
$\Rightarrow \frac{x-48}{4}=\frac{1}{6}x$
$\Rightarrow x-48=\frac{4}{6}x$
$\Rightarrow x-48=\frac{2}{3}x$
$\Rightarrow 3x-144=2x$
$\Rightarrow 3x-2x=144$
$\Rightarrow x=144$