What two numbers add up to 8905?

There are infinite combinations of two numbers that add up to 8905. Here are some examples using negative numbers:

-1 + 8906 = 8905
-2 + 8907 = 8905
-3 + 8908 = 8905
...

Here are some examples using two fractions that will add up to 8905:

8905/2 + 8905/2 = 8905
17810/3 + 8905/3 = 8905
26715/4 + 8905/4 = 8905
...

And here are some examples using two decimal numbers that will add up to 8905:

1.25 + 8903.75 = 8905
2.50 + 8902.5 = 8905
3.75 + 8901.25 = 8905
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8905?", 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 8905. (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 8905?" has 4452 answers:

1 + 8904 = 8905
2 + 8903 = 8905
3 + 8902 = 8905
.
.
4450 + 4455 = 8905
4451 + 4454 = 8905
4452 + 4453 = 8905

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 8905 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 8906?
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