What two numbers add up to 9872?

There are infinite combinations of two numbers that add up to 9872. Here are some examples using negative numbers:

-1 + 9873 = 9872
-2 + 9874 = 9872
-3 + 9875 = 9872
...

Here are some examples using two fractions that will add up to 9872:

9872/2 + 9872/2 = 9872
19744/3 + 9872/3 = 9872
29616/4 + 9872/4 = 9872
...

And here are some examples using two decimal numbers that will add up to 9872:

1.25 + 9870.75 = 9872
2.50 + 9869.5 = 9872
3.75 + 9868.25 = 9872
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9872?", 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 9872. (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 9872?" has 4936 answers:

1 + 9871 = 9872
2 + 9870 = 9872
3 + 9869 = 9872
.
.
4934 + 4938 = 9872
4935 + 4937 = 9872
4936 + 4936 = 9872

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 9872 by 2 and then rounded down to the nearest whole number if necessary.

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