SOLUTION: two integers are consecutive positive integers. If you multiply the smaller integer with 3 times the larger it equals 36. Find the sum of the two integers.

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Question 793158: two integers are consecutive positive integers. If you multiply the smaller integer with 3 times the larger it equals 36. Find the sum of the two integers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive positive integers: x, (x+1)

3x(x+1) = 36
x(x+1) = 12
x^2 + x = 12
x^2 + x - 12 = 0
(x + 4)(x - 3) = 0
x = -4, x = 3

x must be positive, so the integers are 3 and 4.