What two numbers add up to 5678?

There are infinite combinations of two numbers that add up to 5678. Here are some examples using negative numbers:

-1 + 5679 = 5678
-2 + 5680 = 5678
-3 + 5681 = 5678
...

Here are some examples using two fractions that will add up to 5678:

5678/2 + 5678/2 = 5678
11356/3 + 5678/3 = 5678
17034/4 + 5678/4 = 5678
...

And here are some examples using two decimal numbers that will add up to 5678:

1.25 + 5676.75 = 5678
2.50 + 5675.5 = 5678
3.75 + 5674.25 = 5678
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 5678?", 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 5678. (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 5678?" has 2839 answers:

1 + 5677 = 5678
2 + 5676 = 5678
3 + 5675 = 5678
.
.
2837 + 2841 = 5678
2838 + 2840 = 5678
2839 + 2839 = 5678

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 5678 by 2 and then rounded down to the nearest whole number if necessary.

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