Question 144772: The product of two consecutive odd whole numbers is 143. Find the numbers
Answer by nabla(475)   (Show Source):
You can put this solution on YOUR website! let the numbers be: 2n+1, 2n+3
Then, (2n+1)(2n+3)=143
4n^2+8n+3=143
4n^2+8n-140=0
n^2+2n-35=0
(n+7)(n-5)=0
So n=-7 or n=5. Now, we probably only want the positive solution here, so n=5.
And the numbers are:
11 and 13.
11*13=143.
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