What two numbers add up to 8219?

There are infinite combinations of two numbers that add up to 8219. Here are some examples using negative numbers:

-1 + 8220 = 8219
-2 + 8221 = 8219
-3 + 8222 = 8219
...

Here are some examples using two fractions that will add up to 8219:

8219/2 + 8219/2 = 8219
16438/3 + 8219/3 = 8219
24657/4 + 8219/4 = 8219
...

And here are some examples using two decimal numbers that will add up to 8219:

1.25 + 8217.75 = 8219
2.50 + 8216.5 = 8219
3.75 + 8215.25 = 8219
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8219?", 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 8219. (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 8219?" has 4109 answers:

1 + 8218 = 8219
2 + 8217 = 8219
3 + 8216 = 8219
.
.
4107 + 4112 = 8219
4108 + 4111 = 8219
4109 + 4110 = 8219

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 8219 by 2 and then rounded down to the nearest whole number if necessary.

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