Question

What is the ratio of a:b, knowing that$\frac{a - b}{a + b} = \frac{3}{5}$

Answer 1

You have the following expresion:

$\frac{a-b}{a+b}=\frac{3}{5}$

In order to determine the ratio of a:b, it is necessary to solve the previous equation for a/b, just as follow:

$\begin{gathered} 5a-5b=3a+3b \\ 5a-3a=3b+5b \\ 2a=8b \\ \frac{a}{b}=\frac{8}{2}=4 \end{gathered}$

Hence, the ratio of a/b is 4