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Question

Akanksha was asked to multiply a number by its successor. But she made a careless mistake and multiplied the number by itself.

When she found the error, she added the original number to the final result. The result now obtained is

___ (less than/ equal to/ more than) the original correct answer.

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Solution

Let us express what Akanksha had to do and what she had done, mathematically.

To start with, let us start with assuming the number chosen by Akanksha as n.

What Akanksha had to do:
n(n+1)=n2+n

What Akanksha had done:
n×n+n=n2+n, which is the same as before.


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