Answer:
a : b = 5 : 1
Step-by-step explanation:
Given
[tex]\frac{a+b}{a-b}[/tex] = [tex]\frac{3}{2}[/tex] ( 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)
[tex]\frac{a}{b}[/tex] = 5, thus
a : b = 5 : 1
