SOLUTION: The product of two consecutive positive even numbers is 16 greater than 16 times of the odd number between them. Find the two even numbers.

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Question 801418: The product of two consecutive positive even numbers is 16 greater than 16 times of the odd number between them. Find the two even numbers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive positive even integers: x, (x+2)

x(x+2) = 16 + 16(x+1)
x^2 + 2x = 16x + 32
x^2 - 14x - 32 = 0
(x - 16)(x + 2) = 0
x = 16, x = -2

x is positive, so the integers are 14, 16, and 18.