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

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

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User Factorypolaris
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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

answered
User Jhc
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