Question

Akanksha was asked to multiply a number by its successor. But she was careless and multiplied the number with itself. When she rechecked, she found the error and added the original number to the final result. The result is ___(less/more/equal to) the actual correct answer.

Answer 1

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 ${}^{\prime }{n}^{\prime }.$

What Akanksha had to do:
$n(n+1)=n^2+n$

What Akanksha had done:
$n\times n=n^2$

then added ${}^{\prime }{n}^{\prime }$, $n^2+n$ is the result after rechecking, which is the same as before.

The result will be equal to the actual correct answer.