What two numbers add up to 2018?

There are infinite combinations of two numbers that add up to 2018. Here are some examples using negative numbers:

-1 + 2019 = 2018
-2 + 2020 = 2018
-3 + 2021 = 2018
...

Here are some examples using two fractions that will add up to 2018:

2018/2 + 2018/2 = 2018
4036/3 + 2018/3 = 2018
6054/4 + 2018/4 = 2018
...

And here are some examples using two decimal numbers that will add up to 2018:

1.25 + 2016.75 = 2018
2.50 + 2015.5 = 2018
3.75 + 2014.25 = 2018
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2018?", 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 2018. (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 2018?" has 1009 answers:

1 + 2017 = 2018
2 + 2016 = 2018
3 + 2015 = 2018
.
.
1007 + 1011 = 2018
1008 + 1010 = 2018
1009 + 1009 = 2018

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 2018 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2019?
Here is the next problem on our list that we answered and explained in a similar fashion.