The product of two positive numbers is 96. Determine the two numbers if one is 4 more than the other

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The product of two positive numbers is 96. Determine the two numbers if one is 4 more than the other.

Let the 2 numbers be x and y.

We have:

1. xy = 96
2. x = y - 4

Substitute (2) into (1)
(y - 4)y = 96
y^2 - 4y = 96

Subtract 96 from both sides:
y^2 - 4y - 96 = 0

Factoring using our quadratic calculator, we get:
(y - 12)(y + 8)

So y = 12 and y = -8. Since the problem states positive numbers, we use y = 12.
Substituting y = 12 into (2), we get:
x = 12 - 4
x = 8

We have (x, y) = (8, 12)