Question

The difference between the squares of two consecutive numbers is 37.

Find the numbers.

Answer 1

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The difference between the squares of two consecutive numbers is x, then the numbers are (x-1)/2 and (x+1)/2


(37-1)/2 and (37+1)/2

36/2 and 38/2

Therefore the required answer = 18 and 19.

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Answer 2

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Here's your Answer...