What two numbers add up to 9916?

There are infinite combinations of two numbers that add up to 9916. Here are some examples using negative numbers:

-1 + 9917 = 9916
-2 + 9918 = 9916
-3 + 9919 = 9916
...

Here are some examples using two fractions that will add up to 9916:

9916/2 + 9916/2 = 9916
19832/3 + 9916/3 = 9916
29748/4 + 9916/4 = 9916
...

And here are some examples using two decimal numbers that will add up to 9916:

1.25 + 9914.75 = 9916
2.50 + 9913.5 = 9916
3.75 + 9912.25 = 9916
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9916?", 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 9916. (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 9916?" has 4958 answers:

1 + 9915 = 9916
2 + 9914 = 9916
3 + 9913 = 9916
.
.
4956 + 4960 = 9916
4957 + 4959 = 9916
4958 + 4958 = 9916

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 9916 by 2 and then rounded down to the nearest whole number if necessary.

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