What two numbers add up to 9696?

There are infinite combinations of two numbers that add up to 9696. Here are some examples using negative numbers:

-1 + 9697 = 9696
-2 + 9698 = 9696
-3 + 9699 = 9696
...

Here are some examples using two fractions that will add up to 9696:

9696/2 + 9696/2 = 9696
19392/3 + 9696/3 = 9696
29088/4 + 9696/4 = 9696
...

And here are some examples using two decimal numbers that will add up to 9696:

1.25 + 9694.75 = 9696
2.50 + 9693.5 = 9696
3.75 + 9692.25 = 9696
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9696?", 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 9696. (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 9696?" has 4848 answers:

1 + 9695 = 9696
2 + 9694 = 9696
3 + 9693 = 9696
.
.
4846 + 4850 = 9696
4847 + 4849 = 9696
4848 + 4848 = 9696

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 9696 by 2 and then rounded down to the nearest whole number if necessary.

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