Question

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

Answer 1

$\begin{array}{l}\text{Let the original}\text{number be}x.\\ \text{Then, we have:}\\ \Rightarrow \frac{2}{3}x=x-20\\ \Rightarrow \frac{2x}{3}-x=-20\\ \Rightarrow \frac{2x-3x}{3}=-20\\ \Rightarrow -x=-20\times 3\\ \Rightarrow x=60\\ \therefore \text{The original number is 6}0.\end{array}$