What two numbers add up to 2697?

There are infinite combinations of two numbers that add up to 2697. Here are some examples using negative numbers:

-1 + 2698 = 2697
-2 + 2699 = 2697
-3 + 2700 = 2697
...

Here are some examples using two fractions that will add up to 2697:

2697/2 + 2697/2 = 2697
5394/3 + 2697/3 = 2697
8091/4 + 2697/4 = 2697
...

And here are some examples using two decimal numbers that will add up to 2697:

1.25 + 2695.75 = 2697
2.50 + 2694.5 = 2697
3.75 + 2693.25 = 2697
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2697?", 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 2697. (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 2697?" has 1348 answers:

1 + 2696 = 2697
2 + 2695 = 2697
3 + 2694 = 2697
.
.
1346 + 1351 = 2697
1347 + 1350 = 2697
1348 + 1349 = 2697

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 2697 by 2 and then rounded down to the nearest whole number if necessary.

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