Find two positive numbers whose difference is 20 and whose product is 525

Answer 1

x - y = 20, x = 20 + y

xy = 525

Substitute:

(20 + y) (y) = 525

y^2 + 20 y - 525 = 0

(y - 15)(y + 35) = 0 (I did this by factoring and finding which factors would fit the equation)

y = 15, y = -35 (disregard)

x = 35