SOLUTION: The sum of two consecutive integers is 5/6 of their product.find the two numbers

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Question 953763: The sum of two consecutive integers is 5/6 of their product.find the two numbers

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: x, (x+1)

x + (x+1) = 5/6 * (x(x+1))
2x + 1 = 5x^2/6 + 5x/6
0 = 5x^2/6 - 7x/6 - 1
0 = 5x^2 - 7x - 6
0 = (x - 2)(5x + 3) = 0

The numbers are integers, so x = 2.

The integers are 2 and 3.