Step-by-step explanation:
Let the required number be x.
[tex] \frac{2}{3} x - \frac{3}{5} x = 3 \\ \\ \therefore \: \frac{2 \times 5 - 3 \times 3}{3 \times 5} x = 3 \\ \\ \therefore \: \frac{10 - 9}{15} x = 3 \\ \\ \therefore \: \frac{1}{15} x = 3 \\ \\ \therefore \: x = 15 \times 3 \\ \\ \: \: \: \: \: \: \huge{ \red{ \boxed{ \therefore \: x = 45 }}}[/tex]
Thus the required number is 45.
