What two numbers add up to 9917?

There are infinite combinations of two numbers that add up to 9917. Here are some examples using negative numbers:

-1 + 9918 = 9917
-2 + 9919 = 9917
-3 + 9920 = 9917
...

Here are some examples using two fractions that will add up to 9917:

9917/2 + 9917/2 = 9917
19834/3 + 9917/3 = 9917
29751/4 + 9917/4 = 9917
...

And here are some examples using two decimal numbers that will add up to 9917:

1.25 + 9915.75 = 9917
2.50 + 9914.5 = 9917
3.75 + 9913.25 = 9917
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9917?", 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 9917. (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 9917?" has 4958 answers:

1 + 9916 = 9917
2 + 9915 = 9917
3 + 9914 = 9917
.
.
4956 + 4961 = 9917
4957 + 4960 = 9917
4958 + 4959 = 9917

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 9917 by 2 and then rounded down to the nearest whole number if necessary.

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