Let the numbers be x
According to the question
\(\frac{4}{5}\text{x}-10=\frac{2}{3}\text{x}\)
\(\Rightarrow
\) \(\frac{4}{5}\text{x}-\frac{2}{3}\text{x}=10\)
\(\Rightarrow \frac{12\text{x}-10\text{x}}{15}=10\)
⇒ 2x = 10 × 15 = 150
⇒ x = 75
So the number is 75.