SOLUTION: I am thinking of two consecutive integers. The difference between the square of the larger integer and the square of the smaller integer is 25. Find the integers.

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Question 443997: I am thinking of two consecutive integers. The difference between the square of the larger integer and the square of the smaller integer is 25. Find the integers.
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
If you have m^2 - n^2 = 25, and m = n + 1 THEN:
%28n%2B1%29%5E2+-+n%5E2+=+25
n%5E2+%2B+2n+%2B+1+-n%5E2+=+25
2n+%2B+1+=+25
2n+=+24
n+=+12
m+=+12+%2B+1
m++=+13
12 and 13.