What two numbers add up to 6004?

There are infinite combinations of two numbers that add up to 6004. Here are some examples using negative numbers:

-1 + 6005 = 6004
-2 + 6006 = 6004
-3 + 6007 = 6004
...

Here are some examples using two fractions that will add up to 6004:

6004/2 + 6004/2 = 6004
12008/3 + 6004/3 = 6004
18012/4 + 6004/4 = 6004
...

And here are some examples using two decimal numbers that will add up to 6004:

1.25 + 6002.75 = 6004
2.50 + 6001.5 = 6004
3.75 + 6000.25 = 6004
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 6004?", 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 6004. (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 6004?" has 3002 answers:

1 + 6003 = 6004
2 + 6002 = 6004
3 + 6001 = 6004
.
.
3000 + 3004 = 6004
3001 + 3003 = 6004
3002 + 3002 = 6004

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 6004 by 2 and then rounded down to the nearest whole number if necessary.

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