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The difference of the squares of two positive consecutive integers is 991. Find the integers.

1 Answer

6 votes

Answer:

The numbers are 495 and 496.

Explanation:


(x+1)^(2) -x^(2) =991\\x^(2) +2x+1-x^(2) =991\\2x+1=991\\2x=990\\x=495

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