What two numbers add up to 9750?

There are infinite combinations of two numbers that add up to 9750. Here are some examples using negative numbers:

-1 + 9751 = 9750
-2 + 9752 = 9750
-3 + 9753 = 9750
...

Here are some examples using two fractions that will add up to 9750:

9750/2 + 9750/2 = 9750
19500/3 + 9750/3 = 9750
29250/4 + 9750/4 = 9750
...

And here are some examples using two decimal numbers that will add up to 9750:

1.25 + 9748.75 = 9750
2.50 + 9747.5 = 9750
3.75 + 9746.25 = 9750
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9750?", 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 9750. (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 9750?" has 4875 answers:

1 + 9749 = 9750
2 + 9748 = 9750
3 + 9747 = 9750
.
.
4873 + 4877 = 9750
4874 + 4876 = 9750
4875 + 4875 = 9750

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 9750 by 2 and then rounded down to the nearest whole number if necessary.

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