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Question

The difference between the squares of two consecutive numbers is 31. Find the numbers.

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Solution

Let first number = x

and The second number = x + 1

According to the condition,

(x+1)2(x)2=31 x2+2x+1x2=31 2x=311=30 x=302=15

First number = 15

and second number = 15 + 1 = 16

Hence, the numbers are 15, 16


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