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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
There second number = x+1
According to the condition:
(x+1)2(x)2=31x2+2x+1x2=312x=311=30
x=302=15
First number = 15
and second number = 15+1=16
Hence numbers are 15,16
Check : (16)2(15)2256225=31
Which is given
Our answer is correct.


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