Question

If a and b are positive numbers such that 2b=3a, what's the value of ((a+b)/b)? I know you can plug in numbers for this, but i'm interested in solving this algebraically. Thanks.

Answer 1

`\displaystyle 2b =3a \Rightarrow a= (2b)/(3) \\\\ (a+b)/(b)= ( (5b)/(3) )/(b) = (5b)/(3b) = (5)/(3) =1 (2)/(3)`