Answer Posted / booba

For each number between 1 and 499 there is a corresponding
number between 501 and 999 which, when added together,
equals 1000.

For example:

1 + 999 = 1000
2 + 998 = 1000
...
499 + 501 = 1000

Now, there are 499 pairs like that. Add them together and
you get 499,000

Add to that 1000 and 500, and you get 500,500, which is your
total.

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