Difference of two numbers is 1660. If 7.5% of one number is 12.5% of the other number, find the two numbers. · ABC26GN2115

Let the numbers be $x$ and $y$. Then, $7.5\%$ of $x=12.5\%$ of $y \Leftrightarrow x=\frac{125}{75}y=\frac{5}{3}y$. Now, $x-y=1660 \Rightarrow \frac{5}{3}y-y=1660 \Rightarrow \frac{2}{3}y=1660 \Rightarrow y=\left(\frac{1660\times 3}{2}\right)=2490$. One number $=2490$, second number $=\frac{5}{3}y=4150$.