What two numbers add up to 9828?

There are infinite combinations of two numbers that add up to 9828. Here are some examples using negative numbers:

-1 + 9829 = 9828
-2 + 9830 = 9828
-3 + 9831 = 9828
...

Here are some examples using two fractions that will add up to 9828:

9828/2 + 9828/2 = 9828
19656/3 + 9828/3 = 9828
29484/4 + 9828/4 = 9828
...

And here are some examples using two decimal numbers that will add up to 9828:

1.25 + 9826.75 = 9828
2.50 + 9825.5 = 9828
3.75 + 9824.25 = 9828
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9828?", 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 9828. (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 9828?" has 4914 answers:

1 + 9827 = 9828
2 + 9826 = 9828
3 + 9825 = 9828
.
.
4912 + 4916 = 9828
4913 + 4915 = 9828
4914 + 4914 = 9828

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 9828 by 2 and then rounded down to the nearest whole number if necessary.

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