Question

Find the ratio of a:b givin that a+b/a−b = 3/2

Answer 1

a : b = 5 : 1

Explanation:

Given

`(a+b)/(a-b)` =
`(3)/(2)` ( cross- multiply )

3(a - b) = 2(a + b) ← distribute parenthesis on both sides

3a - 3b = 2a + 2b ( subtract 2a from both sides )

a - 3b = 2b ( add 3b to both sides )

a = 5b ( divide both sides by b)

`(a)/(b)` = 5, thus

a : b = 5 : 1