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08-11-2020
Mathematics

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

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gardnerdanj gardnerdanj

09-11-2020

Answer:

The numbers are 495 and 496.

Step-by-step explanation:

[tex](x+1)^{2} -x^{2} =991\\x^{2} +2x+1-x^{2} =991\\2x+1=991\\2x=990\\x=495[/tex]

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