Question

One - sixth of a number subtracted from one-third of the number gives $49$ . Find the number .

Answer 1

Let $x$ be a number .

According to question ,

One - sixth of number $=\frac{x}{6}$

One - third of number $=\frac{x}{3}$

According to question ,

$\begin{array}{rcl}\frac{x}{3}-\frac{x}{6}& =& 49\\ \frac{2x-x}{6}& =& 49\\ 2x-x& =& 49\times 6\\ x& =& 294\end{array}$

Hence, the required number is $294$ .