What two numbers add up to 2431?

There are infinite combinations of two numbers that add up to 2431. Here are some examples using negative numbers:

-1 + 2432 = 2431
-2 + 2433 = 2431
-3 + 2434 = 2431
...

Here are some examples using two fractions that will add up to 2431:

2431/2 + 2431/2 = 2431
4862/3 + 2431/3 = 2431
7293/4 + 2431/4 = 2431
...

And here are some examples using two decimal numbers that will add up to 2431:

1.25 + 2429.75 = 2431
2.50 + 2428.5 = 2431
3.75 + 2427.25 = 2431
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2431?", 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 2431. (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 2431?" has 1215 answers:

1 + 2430 = 2431
2 + 2429 = 2431
3 + 2428 = 2431
.
.
1213 + 1218 = 2431
1214 + 1217 = 2431
1215 + 1216 = 2431

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 2431 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2432?
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