Question

A number is divided into two parts such that one part is $10$ more than the other. If the two parts in the ratio $5:3$, find the number and the two parts.

Answer 1

Since the two parts are in the ratio $5:3$, then let the first number be $5x$ and second number be $3x$. As second number is 10 more than the other, so it will be $3x+10$.

$5x=3x+10$

$2x=10$

$x=5$

The first number becomes $5\left(5\right)=25$ and second number becomes $3\left(5\right)=15$.

The new number will be $25+15=40$.