What two numbers add up to 9937?

There are infinite combinations of two numbers that add up to 9937. Here are some examples using negative numbers:

-1 + 9938 = 9937
-2 + 9939 = 9937
-3 + 9940 = 9937
...

Here are some examples using two fractions that will add up to 9937:

9937/2 + 9937/2 = 9937
19874/3 + 9937/3 = 9937
29811/4 + 9937/4 = 9937
...

And here are some examples using two decimal numbers that will add up to 9937:

1.25 + 9935.75 = 9937
2.50 + 9934.5 = 9937
3.75 + 9933.25 = 9937
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9937?", 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 9937. (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 9937?" has 4968 answers:

1 + 9936 = 9937
2 + 9935 = 9937
3 + 9934 = 9937
.
.
4966 + 4971 = 9937
4967 + 4970 = 9937
4968 + 4969 = 9937

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 9937 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 9938?
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