What two numbers add up to 2599?

There are infinite combinations of two numbers that add up to 2599. Here are some examples using negative numbers:

-1 + 2600 = 2599
-2 + 2601 = 2599
-3 + 2602 = 2599
...

Here are some examples using two fractions that will add up to 2599:

2599/2 + 2599/2 = 2599
5198/3 + 2599/3 = 2599
7797/4 + 2599/4 = 2599
...

And here are some examples using two decimal numbers that will add up to 2599:

1.25 + 2597.75 = 2599
2.50 + 2596.5 = 2599
3.75 + 2595.25 = 2599
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2599?", 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 2599. (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 2599?" has 1299 answers:

1 + 2598 = 2599
2 + 2597 = 2599
3 + 2596 = 2599
.
.
1297 + 1302 = 2599
1298 + 1301 = 2599
1299 + 1300 = 2599

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 2599 by 2 and then rounded down to the nearest whole number if necessary.

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