What two numbers add up to 9097?

There are infinite combinations of two numbers that add up to 9097. Here are some examples using negative numbers:

-1 + 9098 = 9097
-2 + 9099 = 9097
-3 + 9100 = 9097
...

Here are some examples using two fractions that will add up to 9097:

9097/2 + 9097/2 = 9097
18194/3 + 9097/3 = 9097
27291/4 + 9097/4 = 9097
...

And here are some examples using two decimal numbers that will add up to 9097:

1.25 + 9095.75 = 9097
2.50 + 9094.5 = 9097
3.75 + 9093.25 = 9097
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9097?", 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 9097. (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 9097?" has 4548 answers:

1 + 9096 = 9097
2 + 9095 = 9097
3 + 9094 = 9097
.
.
4546 + 4551 = 9097
4547 + 4550 = 9097
4548 + 4549 = 9097

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 9097 by 2 and then rounded down to the nearest whole number if necessary.

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