What two numbers add up to 2523?

There are infinite combinations of two numbers that add up to 2523. Here are some examples using negative numbers:

-1 + 2524 = 2523
-2 + 2525 = 2523
-3 + 2526 = 2523
...

Here are some examples using two fractions that will add up to 2523:

2523/2 + 2523/2 = 2523
5046/3 + 2523/3 = 2523
7569/4 + 2523/4 = 2523
...

And here are some examples using two decimal numbers that will add up to 2523:

1.25 + 2521.75 = 2523
2.50 + 2520.5 = 2523
3.75 + 2519.25 = 2523
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2523?", 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 2523. (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 2523?" has 1261 answers:

1 + 2522 = 2523
2 + 2521 = 2523
3 + 2520 = 2523
.
.
1259 + 1264 = 2523
1260 + 1263 = 2523
1261 + 1262 = 2523

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 2523 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2524?
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