Try to solve this (it's easy)!
Without considering the order, how many different pairs of positive integers add up to make 1000?
As an explicit example, 6 is equal to . So there are exactly 3 different pairs of positive integers that add up to make 1000.
The answer is 500.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
By writing the sums as: 1 + 999, 2 + 998, 3 + 997, ... , 499 + 501, 500 + 500. It is clear that the number of different pairs is five hundred.