Question

Using properties of proportion, find x : y, if `(x^2 + 2x)/(2x + 4) = (y^2 + 3y)/(3y + 9)`

Answer 1

`(x^2 + 2x)/(2x + 4) = (y^2 + 3y)/(3y + 9)`

Taking out common factors from the numerators and denominators,

⇒ `(x(x + 2))/(2(x + 2)) = (y(y + 3))/(3(y + 3))`

⇒ `x/2 = y/3`

Applying the property of alternendo to our simplified equation,

⇒ `x/y = 2/3`

The ratio x : y = 2 : 3