Question

If $\frac{1}{5}$ of a number is subtracted from $\frac{1}{3}$ of that number, the result is $6$. Find the number.

Answer 1

Let the required number be $x$.

Now according to the question

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

$\frac{5x-3x}{15}=6$

$2x=15\times 6$

$x=\frac{90}{2}=45$

Hence the required number is $45$.