What two numbers add up to 9924?

There are infinite combinations of two numbers that add up to 9924. Here are some examples using negative numbers:

-1 + 9925 = 9924
-2 + 9926 = 9924
-3 + 9927 = 9924
...

Here are some examples using two fractions that will add up to 9924:

9924/2 + 9924/2 = 9924
19848/3 + 9924/3 = 9924
29772/4 + 9924/4 = 9924
...

And here are some examples using two decimal numbers that will add up to 9924:

1.25 + 9922.75 = 9924
2.50 + 9921.5 = 9924
3.75 + 9920.25 = 9924
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9924?", 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 9924. (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 9924?" has 4962 answers:

1 + 9923 = 9924
2 + 9922 = 9924
3 + 9921 = 9924
.
.
4960 + 4964 = 9924
4961 + 4963 = 9924
4962 + 4962 = 9924

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 9924 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 9925?
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