What two numbers add up to 2559?

There are infinite combinations of two numbers that add up to 2559. Here are some examples using negative numbers:

-1 + 2560 = 2559
-2 + 2561 = 2559
-3 + 2562 = 2559
...

Here are some examples using two fractions that will add up to 2559:

2559/2 + 2559/2 = 2559
5118/3 + 2559/3 = 2559
7677/4 + 2559/4 = 2559
...

And here are some examples using two decimal numbers that will add up to 2559:

1.25 + 2557.75 = 2559
2.50 + 2556.5 = 2559
3.75 + 2555.25 = 2559
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2559?", 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 2559. (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 2559?" has 1279 answers:

1 + 2558 = 2559
2 + 2557 = 2559
3 + 2556 = 2559
.
.
1277 + 1282 = 2559
1278 + 1281 = 2559
1279 + 1280 = 2559

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 2559 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2560?
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