What two numbers add up to 9005?

There are infinite combinations of two numbers that add up to 9005. Here are some examples using negative numbers:

-1 + 9006 = 9005
-2 + 9007 = 9005
-3 + 9008 = 9005
...

Here are some examples using two fractions that will add up to 9005:

9005/2 + 9005/2 = 9005
18010/3 + 9005/3 = 9005
27015/4 + 9005/4 = 9005
...

And here are some examples using two decimal numbers that will add up to 9005:

1.25 + 9003.75 = 9005
2.50 + 9002.5 = 9005
3.75 + 9001.25 = 9005
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9005?", 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 9005. (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 9005?" has 4502 answers:

1 + 9004 = 9005
2 + 9003 = 9005
3 + 9002 = 9005
.
.
4500 + 4505 = 9005
4501 + 4504 = 9005
4502 + 4503 = 9005

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 9005 by 2 and then rounded down to the nearest whole number if necessary.

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