What two numbers add up to 9904?

There are infinite combinations of two numbers that add up to 9904. Here are some examples using negative numbers:

-1 + 9905 = 9904
-2 + 9906 = 9904
-3 + 9907 = 9904
...

Here are some examples using two fractions that will add up to 9904:

9904/2 + 9904/2 = 9904
19808/3 + 9904/3 = 9904
29712/4 + 9904/4 = 9904
...

And here are some examples using two decimal numbers that will add up to 9904:

1.25 + 9902.75 = 9904
2.50 + 9901.5 = 9904
3.75 + 9900.25 = 9904
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9904?", 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 9904. (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 9904?" has 4952 answers:

1 + 9903 = 9904
2 + 9902 = 9904
3 + 9901 = 9904
.
.
4950 + 4954 = 9904
4951 + 4953 = 9904
4952 + 4952 = 9904

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 9904 by 2 and then rounded down to the nearest whole number if necessary.

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