What two numbers add up to 3114?

There are infinite combinations of two numbers that add up to 3114. Here are some examples using negative numbers:

-1 + 3115 = 3114
-2 + 3116 = 3114
-3 + 3117 = 3114
...

Here are some examples using two fractions that will add up to 3114:

3114/2 + 3114/2 = 3114
6228/3 + 3114/3 = 3114
9342/4 + 3114/4 = 3114
...

And here are some examples using two decimal numbers that will add up to 3114:

1.25 + 3112.75 = 3114
2.50 + 3111.5 = 3114
3.75 + 3110.25 = 3114
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3114?", 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 3114. (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 3114?" has 1557 answers:

1 + 3113 = 3114
2 + 3112 = 3114
3 + 3111 = 3114
.
.
1555 + 1559 = 3114
1556 + 1558 = 3114
1557 + 1557 = 3114

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 3114 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 3115?
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