What two numbers add up to 9838?

There are infinite combinations of two numbers that add up to 9838. Here are some examples using negative numbers:

-1 + 9839 = 9838
-2 + 9840 = 9838
-3 + 9841 = 9838
...

Here are some examples using two fractions that will add up to 9838:

9838/2 + 9838/2 = 9838
19676/3 + 9838/3 = 9838
29514/4 + 9838/4 = 9838
...

And here are some examples using two decimal numbers that will add up to 9838:

1.25 + 9836.75 = 9838
2.50 + 9835.5 = 9838
3.75 + 9834.25 = 9838
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9838?", 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 9838. (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 9838?" has 4919 answers:

1 + 9837 = 9838
2 + 9836 = 9838
3 + 9835 = 9838
.
.
4917 + 4921 = 9838
4918 + 4920 = 9838
4919 + 4919 = 9838

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 9838 by 2 and then rounded down to the nearest whole number if necessary.

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