What two numbers add up to 4217?

There are infinite combinations of two numbers that add up to 4217. Here are some examples using negative numbers:

-1 + 4218 = 4217
-2 + 4219 = 4217
-3 + 4220 = 4217
...

Here are some examples using two fractions that will add up to 4217:

4217/2 + 4217/2 = 4217
8434/3 + 4217/3 = 4217
12651/4 + 4217/4 = 4217
...

And here are some examples using two decimal numbers that will add up to 4217:

1.25 + 4215.75 = 4217
2.50 + 4214.5 = 4217
3.75 + 4213.25 = 4217
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4217?", 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 4217. (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 4217?" has 2108 answers:

1 + 4216 = 4217
2 + 4215 = 4217
3 + 4214 = 4217
.
.
2106 + 2111 = 4217
2107 + 2110 = 4217
2108 + 2109 = 4217

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 4217 by 2 and then rounded down to the nearest whole number if necessary.

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