What two numbers add up to 9998?

There are infinite combinations of two numbers that add up to 9998. Here are some examples using negative numbers:

-1 + 9999 = 9998
-2 + 10000 = 9998
-3 + 10001 = 9998
...

Here are some examples using two fractions that will add up to 9998:

9998/2 + 9998/2 = 9998
19996/3 + 9998/3 = 9998
29994/4 + 9998/4 = 9998
...

And here are some examples using two decimal numbers that will add up to 9998:

1.25 + 9996.75 = 9998
2.50 + 9995.5 = 9998
3.75 + 9994.25 = 9998
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9998?", 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 9998. (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 9998?" has 4999 answers:

1 + 9997 = 9998
2 + 9996 = 9998
3 + 9995 = 9998
.
.
4997 + 5001 = 9998
4998 + 5000 = 9998
4999 + 4999 = 9998

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 9998 by 2 and then rounded down to the nearest whole number if necessary.

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