What two numbers add up to 2463?

There are infinite combinations of two numbers that add up to 2463. Here are some examples using negative numbers:

-1 + 2464 = 2463
-2 + 2465 = 2463
-3 + 2466 = 2463
...

Here are some examples using two fractions that will add up to 2463:

2463/2 + 2463/2 = 2463
4926/3 + 2463/3 = 2463
7389/4 + 2463/4 = 2463
...

And here are some examples using two decimal numbers that will add up to 2463:

1.25 + 2461.75 = 2463
2.50 + 2460.5 = 2463
3.75 + 2459.25 = 2463
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2463?", 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 2463. (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 2463?" has 1231 answers:

1 + 2462 = 2463
2 + 2461 = 2463
3 + 2460 = 2463
.
.
1229 + 1234 = 2463
1230 + 1233 = 2463
1231 + 1232 = 2463

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 2463 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2464?
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