What two numbers add up to 8761?

There are infinite combinations of two numbers that add up to 8761. Here are some examples using negative numbers:

-1 + 8762 = 8761
-2 + 8763 = 8761
-3 + 8764 = 8761
...

Here are some examples using two fractions that will add up to 8761:

8761/2 + 8761/2 = 8761
17522/3 + 8761/3 = 8761
26283/4 + 8761/4 = 8761
...

And here are some examples using two decimal numbers that will add up to 8761:

1.25 + 8759.75 = 8761
2.50 + 8758.5 = 8761
3.75 + 8757.25 = 8761
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8761?", 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 8761. (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 8761?" has 4380 answers:

1 + 8760 = 8761
2 + 8759 = 8761
3 + 8758 = 8761
.
.
4378 + 4383 = 8761
4379 + 4382 = 8761
4380 + 4381 = 8761

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 8761 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 8762?
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