SOLUTION: The product of two consecutive odd integers is equal to 27 plus six times the sum of the integers. What is the larger integer?

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Question 1094360: The product of two consecutive odd integers is equal to 27 plus six times the sum of the integers. What is the larger integer?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Integers x-2 and x

x%28x-2%29=27%2B6%28x-2%2Bx%29
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x%5E2-2x=6%282x-2%29%2B27
x%5E2-2x=12x-12%2B27
x%5E2-14x-15=0
%28x-15%29%28x%2B1%29=0

highlight_green%28x=15%29, largerinteger
(-1 also works.)




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13%2A15=27%2B6%2813%2B15%29
195=27%2B6%2A28
195=195

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%28-3%29%28-1%29=27%2B6%28-3-1%29
3=27%2B6%28-4%29
3=27-24
3=3