SOLUTION: The product of two consecutive positive integers is 21 more than three times the larger integer. What are the integers?

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Question 1077409: The product of two consecutive positive integers is 21 more than three times the larger integer. What are the integers?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two numbers n and n+1

n%28n%2B1%29=21%2B3%28n%2B1%29
-

n%5E2%2Bn=21%2B3n%2B3
n%5E2-2n-24=0
%28n-6%29%28n%2B4%29=0


system%28n=6%2CAND%2Cn%2B1=7%29