2/3 of a number is 20 less than the original number. Find the number.

Let the original number be $\mathrm{x}$.

$\frac{2}{3}$ of the number is 20 less than the original number.

$\therefore \frac{2}{3} x=x-20$

$\Rightarrow \frac{2 x}{3}=x-20$

$\Rightarrow 2 x=3(x-20)$    (by cross multiplication)

$\Rightarrow 2 x=3 x-60$

$\Rightarrow 2 x-3 x=-60$

$\Rightarrow-x=-60$

$\Rightarrow x=60$

Therefore, the original number is 60 .