81.2k views
1 vote
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

User Jhc
by
4.6k points