SOLUTION: the difference between the squares of two consecutive integers is 133. what are the integers

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Question 473167: the difference between the squares of two consecutive integers is 133. what are the integers
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

the difference between the squares of two consecutive integers is 133.

Let x and (x+1) represent the two consecutive integers

Question states***

(x +1)^2 - x^2 = 133

 x^2+2x+1-x^2 = 133

     2x+1 = 133

       2x = 132

        x = 66 | Integers are 66,67



CHECKING our Answer***

4489 - 4356 = 133