What two numbers add up to 2080?

There are infinite combinations of two numbers that add up to 2080. Here are some examples using negative numbers:

-1 + 2081 = 2080
-2 + 2082 = 2080
-3 + 2083 = 2080
...

Here are some examples using two fractions that will add up to 2080:

2080/2 + 2080/2 = 2080
4160/3 + 2080/3 = 2080
6240/4 + 2080/4 = 2080
...

And here are some examples using two decimal numbers that will add up to 2080:

1.25 + 2078.75 = 2080
2.50 + 2077.5 = 2080
3.75 + 2076.25 = 2080
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2080?", 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 2080. (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 2080?" has 1040 answers:

1 + 2079 = 2080
2 + 2078 = 2080
3 + 2077 = 2080
.
.
1038 + 1042 = 2080
1039 + 1041 = 2080
1040 + 1040 = 2080

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 2080 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2081?
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