What two numbers add up to 8217?

There are infinite combinations of two numbers that add up to 8217. Here are some examples using negative numbers:

-1 + 8218 = 8217
-2 + 8219 = 8217
-3 + 8220 = 8217
...

Here are some examples using two fractions that will add up to 8217:

8217/2 + 8217/2 = 8217
16434/3 + 8217/3 = 8217
24651/4 + 8217/4 = 8217
...

And here are some examples using two decimal numbers that will add up to 8217:

1.25 + 8215.75 = 8217
2.50 + 8214.5 = 8217
3.75 + 8213.25 = 8217
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8217?", 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 8217. (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 8217?" has 4108 answers:

1 + 8216 = 8217
2 + 8215 = 8217
3 + 8214 = 8217
.
.
4106 + 4111 = 8217
4107 + 4110 = 8217
4108 + 4109 = 8217

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 8217 by 2 and then rounded down to the nearest whole number if necessary.

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