Question

FIND THE VALUE OF(a+b)/a:(a-b)/b WHEN a:b=2:3?

Answer 1

$a:b =2:3\\ let\ a=2x\ and\ b=3x.\\ \\ We\ need\ to\ find\ \frac{a+b}{a}:\frac{a-b}{b} \\ \\ \frac{2x+3x}{2x}:\frac{2x-3x}{3x} \\ \\ =\frac{5x}{2x}: \frac{-x}{3x} \\ \\ = \frac{5}{2}: \frac{-1}{3}\\ \\ = \frac{5}{2} \times \frac{3}{-1}\\ \\= \boxed{ - \frac{15}{2} }$