What two numbers add up to 5005?

There are infinite combinations of two numbers that add up to 5005. Here are some examples using negative numbers:

-1 + 5006 = 5005
-2 + 5007 = 5005
-3 + 5008 = 5005
...

Here are some examples using two fractions that will add up to 5005:

5005/2 + 5005/2 = 5005
10010/3 + 5005/3 = 5005
15015/4 + 5005/4 = 5005
...

And here are some examples using two decimal numbers that will add up to 5005:

1.25 + 5003.75 = 5005
2.50 + 5002.5 = 5005
3.75 + 5001.25 = 5005
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 5005?", 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 5005. (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 5005?" has 2502 answers:

1 + 5004 = 5005
2 + 5003 = 5005
3 + 5002 = 5005
.
.
2500 + 2505 = 5005
2501 + 2504 = 5005
2502 + 2503 = 5005

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 5005 by 2 and then rounded down to the nearest whole number if necessary.

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