SOLUTION: The product of two consecutive odd integers is 22 less than 15 times the smaller one. What are the integers?

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Question 603249: The product of two consecutive odd integers is 22 less than 15 times the smaller one. What are the integers?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
first odd integer = x
second odd integer = x + 2

x*(x+2) = 15*x - 22
x^2 + 2x = 15x -22
x^2 + 2x - 15x + 22 = 0
x^2 - 13x + 22 = 0
(x - 11)(x - 2) = 0
x - 11 = 0 or x - 2 = 0
x = 11 or x = 2
because it's an odd integer, x = 11

so the integers are 11 and 13