What two numbers add up to 2681?

There are infinite combinations of two numbers that add up to 2681. Here are some examples using negative numbers:

-1 + 2682 = 2681
-2 + 2683 = 2681
-3 + 2684 = 2681
...

Here are some examples using two fractions that will add up to 2681:

2681/2 + 2681/2 = 2681
5362/3 + 2681/3 = 2681
8043/4 + 2681/4 = 2681
...

And here are some examples using two decimal numbers that will add up to 2681:

1.25 + 2679.75 = 2681
2.50 + 2678.5 = 2681
3.75 + 2677.25 = 2681
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2681?", 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 2681. (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 2681?" has 1340 answers:

1 + 2680 = 2681
2 + 2679 = 2681
3 + 2678 = 2681
.
.
1338 + 1343 = 2681
1339 + 1342 = 2681
1340 + 1341 = 2681

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 2681 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2682?
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