What two numbers add up to 9988?

There are infinite combinations of two numbers that add up to 9988. Here are some examples using negative numbers:

-1 + 9989 = 9988
-2 + 9990 = 9988
-3 + 9991 = 9988
...

Here are some examples using two fractions that will add up to 9988:

9988/2 + 9988/2 = 9988
19976/3 + 9988/3 = 9988
29964/4 + 9988/4 = 9988
...

And here are some examples using two decimal numbers that will add up to 9988:

1.25 + 9986.75 = 9988
2.50 + 9985.5 = 9988
3.75 + 9984.25 = 9988
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9988?", 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 9988. (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 9988?" has 4994 answers:

1 + 9987 = 9988
2 + 9986 = 9988
3 + 9985 = 9988
.
.
4992 + 4996 = 9988
4993 + 4995 = 9988
4994 + 4994 = 9988

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 9988 by 2 and then rounded down to the nearest whole number if necessary.

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