1.

The product of two consecutive natural number is 31 less than the sum of their squares. Find the number​

Answer» ONG>Answer:

Let TWO CONSECUTIVE natural numbers be xx and x+1x+1.

Sum of these numbers

=x+x+1=x+x+1

=2x+1=2x+1

Difference of their squares (from largest)

=(x+1)2−x2=(x+1)2−x2

=x2+2x+1−x2=x2+2x+1−x2

=2x+1=2x+1

∴∴ Both are equal.

So the answer is ALSO 31.

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