What two numbers add up to 2509?

There are infinite combinations of two numbers that add up to 2509. Here are some examples using negative numbers:

-1 + 2510 = 2509
-2 + 2511 = 2509
-3 + 2512 = 2509
...

Here are some examples using two fractions that will add up to 2509:

2509/2 + 2509/2 = 2509
5018/3 + 2509/3 = 2509
7527/4 + 2509/4 = 2509
...

And here are some examples using two decimal numbers that will add up to 2509:

1.25 + 2507.75 = 2509
2.50 + 2506.5 = 2509
3.75 + 2505.25 = 2509
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2509?", 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 2509. (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 2509?" has 1254 answers:

1 + 2508 = 2509
2 + 2507 = 2509
3 + 2506 = 2509
.
.
1252 + 1257 = 2509
1253 + 1256 = 2509
1254 + 1255 = 2509

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 2509 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2510?
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