What two numbers add up to 2000?

There are infinite combinations of two numbers that add up to 2000. Here are some examples using negative numbers:

-1 + 2001 = 2000
-2 + 2002 = 2000
-3 + 2003 = 2000
...

Here are some examples using two fractions that will add up to 2000:

2000/2 + 2000/2 = 2000
4000/3 + 2000/3 = 2000
6000/4 + 2000/4 = 2000
...

And here are some examples using two decimal numbers that will add up to 2000:

1.25 + 1998.75 = 2000
2.50 + 1997.5 = 2000
3.75 + 1996.25 = 2000
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2000?", it may be more interesting to set some criteria to limit the result. We will set the follow criteria:

1) Only positive whole numbers can add up to 2000. (0 is not a positive or negative number and should not be included.)

2) Since a+b=29 is the same as b+a=29, we should only list it once.

Now, the answer to "What two numbers add up to 2000?" has 1000 answers:

1 + 1999 = 2000
2 + 1998 = 2000
3 + 1997 = 2000
.
.
998 + 1002 = 2000
999 + 1001 = 2000
1000 + 1000 = 2000

We have truncated the list above due to space, but you may be interested to know that we calculated the number of answers by dividing 2000 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2001?
Here is the next problem on our list that we answered and explained in a similar fashion.