Question

Two-thirds of a number is greater than one-third of the number by $3$. Find the number.

Answer 1

Let the number be $x$.
According to given condition, we have:
$\frac{2}{3}x=\frac{1}{3}x+3$
$\Rightarrow \frac{2}{3}x-\frac{1}{3}x=3$
$\Rightarrow \frac{(2-1)}{3}x=3$
$\Rightarrow \frac{1}{3}x=3$
$\therefore x=3\times 3$
Hence, the required number is $9$.