An algebra problem by Nathan Laurence

100+1 =101, 99+2= 101, ................so, by these we will get 50 pairs of 101 and the result is= $50 \times 101$ = $5050$

$100 + 1 = 101$ ; $100 : 2 = 50$ ; Hence, 101 x 50 = 5050

According to Carl Friedrich Gauss,one of the world's most famous mathematicians, it is $5050$ .

We can use Gauss method for this.

The Gauss formula is:

Sum of numbers from 1 to n = $\frac{n(n+1)}{2}$

So:

Sum of numbers 1 to 100 = $\frac{100(100+1)}{2}$

Which can be simplified to:

$\frac{100^2+100}{2}$

Which equals to

=5050