Question

Our product is 72. The difference between us is 1. What numbers are we?

Answer 1

Xy = 72
x - y = 1
x = 1 + y

(1+y)y = 72
y + y^2 = 72
y^2 + y - 72 = 0
(y-8)(y+9) = 0
y = 8 , y = - 9

x = 1 + 8
x = 9

y = 8

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