What two numbers add up to 8209?

There are infinite combinations of two numbers that add up to 8209. Here are some examples using negative numbers:

-1 + 8210 = 8209
-2 + 8211 = 8209
-3 + 8212 = 8209
...

Here are some examples using two fractions that will add up to 8209:

8209/2 + 8209/2 = 8209
16418/3 + 8209/3 = 8209
24627/4 + 8209/4 = 8209
...

And here are some examples using two decimal numbers that will add up to 8209:

1.25 + 8207.75 = 8209
2.50 + 8206.5 = 8209
3.75 + 8205.25 = 8209
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8209?", 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 8209. (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 8209?" has 4104 answers:

1 + 8208 = 8209
2 + 8207 = 8209
3 + 8206 = 8209
.
.
4102 + 4107 = 8209
4103 + 4106 = 8209
4104 + 4105 = 8209

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 8209 by 2 and then rounded down to the nearest whole number if necessary.

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