What two numbers add up to 8109?

There are infinite combinations of two numbers that add up to 8109. Here are some examples using negative numbers:

-1 + 8110 = 8109
-2 + 8111 = 8109
-3 + 8112 = 8109
...

Here are some examples using two fractions that will add up to 8109:

8109/2 + 8109/2 = 8109
16218/3 + 8109/3 = 8109
24327/4 + 8109/4 = 8109
...

And here are some examples using two decimal numbers that will add up to 8109:

1.25 + 8107.75 = 8109
2.50 + 8106.5 = 8109
3.75 + 8105.25 = 8109
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8109?", 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 8109. (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 8109?" has 4054 answers:

1 + 8108 = 8109
2 + 8107 = 8109
3 + 8106 = 8109
.
.
4052 + 4057 = 8109
4053 + 4056 = 8109
4054 + 4055 = 8109

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 8109 by 2 and then rounded down to the nearest whole number if necessary.

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