What two numbers add up to 9040?

There are infinite combinations of two numbers that add up to 9040. Here are some examples using negative numbers:

-1 + 9041 = 9040
-2 + 9042 = 9040
-3 + 9043 = 9040
...

Here are some examples using two fractions that will add up to 9040:

9040/2 + 9040/2 = 9040
18080/3 + 9040/3 = 9040
27120/4 + 9040/4 = 9040
...

And here are some examples using two decimal numbers that will add up to 9040:

1.25 + 9038.75 = 9040
2.50 + 9037.5 = 9040
3.75 + 9036.25 = 9040
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9040?", 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 9040. (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 9040?" has 4520 answers:

1 + 9039 = 9040
2 + 9038 = 9040
3 + 9037 = 9040
.
.
4518 + 4522 = 9040
4519 + 4521 = 9040
4520 + 4520 = 9040

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 9040 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 9041?
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