What two numbers add up to 2749?

There are infinite combinations of two numbers that add up to 2749. Here are some examples using negative numbers:

-1 + 2750 = 2749
-2 + 2751 = 2749
-3 + 2752 = 2749
...

Here are some examples using two fractions that will add up to 2749:

2749/2 + 2749/2 = 2749
5498/3 + 2749/3 = 2749
8247/4 + 2749/4 = 2749
...

And here are some examples using two decimal numbers that will add up to 2749:

1.25 + 2747.75 = 2749
2.50 + 2746.5 = 2749
3.75 + 2745.25 = 2749
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2749?", 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 2749. (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 2749?" has 1374 answers:

1 + 2748 = 2749
2 + 2747 = 2749
3 + 2746 = 2749
.
.
1372 + 1377 = 2749
1373 + 1376 = 2749
1374 + 1375 = 2749

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 2749 by 2 and then rounded down to the nearest whole number if necessary.

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