SOLUTION: The product of two positive consecutive integers is 24 more than nine times the larger integer. Find the integers.

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Question 807141: The product of two positive consecutive integers is 24 more than nine times the larger integer. Find the integers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: x, (x+1)

x(x+1) = 24 + 9(x+1)
x^2 + x = 9x + 33
x^2 - 8x - 33 = 0
(x - 11)(x + 3) = 0
x = 11, x = -3

x has to be positive, so the integers are 11 and 12.