What two numbers add up to 9975?

There are infinite combinations of two numbers that add up to 9975. Here are some examples using negative numbers:

-1 + 9976 = 9975
-2 + 9977 = 9975
-3 + 9978 = 9975
...

Here are some examples using two fractions that will add up to 9975:

9975/2 + 9975/2 = 9975
19950/3 + 9975/3 = 9975
29925/4 + 9975/4 = 9975
...

And here are some examples using two decimal numbers that will add up to 9975:

1.25 + 9973.75 = 9975
2.50 + 9972.5 = 9975
3.75 + 9971.25 = 9975
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9975?", 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 9975. (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 9975?" has 4987 answers:

1 + 9974 = 9975
2 + 9973 = 9975
3 + 9972 = 9975
.
.
4985 + 4990 = 9975
4986 + 4989 = 9975
4987 + 4988 = 9975

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 9975 by 2 and then rounded down to the nearest whole number if necessary.

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