When a number is increased by three-fifths of itself, the result is 64. What is the number?

Explanation

1. 01

   Number + $\frac{3}{5}$ of it = $\frac{8}{5}$ of the number.

2. 02

   $\frac{8}{5}x = 64$, so $x = 64 \times \frac{5}{8} = 40$.