SOLUTION: the difference of the squares of two consecutive integers is 21. find the integers.

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Question 36831: the difference of the squares of two consecutive integers is 21. find the integers.
Answer by vidhyak(98) About Me  (Show Source):
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the difference of the squares of two consecutive integers is 21. find the integers.

Let the 2 integers be x and x+1
(x+1)^2 - x^2 = 21
x^2 +2x +1 - x^2 = 21
2x + 1 = 21
2x = 20
x = 10

Therefore x+1 = 11
The 2 integers are 10,11