SOLUTION: The product of two consecutive positive integers is 19 more than the sum. Find the integers.

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Question 1008866: The product of two consecutive positive integers is 19 more than the sum. Find the integers.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n, any positive integer, not 0;
The next integer is n+1.

highlight_green%28n%28n%2B1%29=n%2B%28n%2B1%29%2B19%29

n%5E2%2Bn=2n%2B20
n%5E2-n-20=0
%28n%2B4%29%28n-5%29=0

n=-4 does not fit the problem's description.
n=5 is part of the solution. The next or consecutive number after, is 6.