What two numbers add up to 9002?

There are infinite combinations of two numbers that add up to 9002. Here are some examples using negative numbers:

-1 + 9003 = 9002
-2 + 9004 = 9002
-3 + 9005 = 9002
...

Here are some examples using two fractions that will add up to 9002:

9002/2 + 9002/2 = 9002
18004/3 + 9002/3 = 9002
27006/4 + 9002/4 = 9002
...

And here are some examples using two decimal numbers that will add up to 9002:

1.25 + 9000.75 = 9002
2.50 + 8999.5 = 9002
3.75 + 8998.25 = 9002
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9002?", 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 9002. (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 9002?" has 4501 answers:

1 + 9001 = 9002
2 + 9000 = 9002
3 + 8999 = 9002
.
.
4499 + 4503 = 9002
4500 + 4502 = 9002
4501 + 4501 = 9002

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 9002 by 2 and then rounded down to the nearest whole number if necessary.

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