What is the ratio of a:b, knowing that(a - b)/(a + b) = (3)/(5)

Question

What is the ratio of a:b, knowing that
`(a - b)/(a + b) = (3)/(5)`

Answer 1

You have the following expresion:

`(a-b)/(a+b)=(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 \\ (a)/(b)=(8)/(2)=4 \end{gathered}`

Hence, the ratio of a/b is 4