SOLUTION: The product of two consecutive positive even integers is 142 more than their sum. Which of these is one of the integers?

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Question 189628: The product of two consecutive positive even integers is 142 more than their sum. Which of these is one of the integers?
Answer by jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=a positive even integer
x+2=next even integer
x%2A%28x%2B2%29=x%2B%28x%2B2%29%2B142
x%5E2%2B2x=2x%2B2%2B142
Subtracting 2x from both sides we get:
x%5E2=144
Taking the square root of both sides, we get:
x=12 and/or x=-12
Since we're only looking for positive integers we take x=12,
x+2=12+2=14
So the 2 consecutive even integers are 12 and 14.