SOLUTION: The product of two consecutive positive integers is 306. We need to find the integers.

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Question 850057: The product of two consecutive positive integers is 306. We need to find the integers.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two consecutive positive integers, n and n+1.
n%28n%2B1%29=306
n%5E2%2Bn-306=0, and needs to be factorable.

306=102*3=34*3*3=2*17*3*3=17*18

n%5E2%2Bn%2B306=%28n-17%29%28n%2B18%29=0
n=17.
That means n%2B1=18.

The two consecutive whole numbers are 17 and 18.