What two numbers add up to 2034?

There are infinite combinations of two numbers that add up to 2034. Here are some examples using negative numbers:

-1 + 2035 = 2034
-2 + 2036 = 2034
-3 + 2037 = 2034
...

Here are some examples using two fractions that will add up to 2034:

2034/2 + 2034/2 = 2034
4068/3 + 2034/3 = 2034
6102/4 + 2034/4 = 2034
...

And here are some examples using two decimal numbers that will add up to 2034:

1.25 + 2032.75 = 2034
2.50 + 2031.5 = 2034
3.75 + 2030.25 = 2034
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2034?", 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 2034. (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 2034?" has 1017 answers:

1 + 2033 = 2034
2 + 2032 = 2034
3 + 2031 = 2034
.
.
1015 + 1019 = 2034
1016 + 1018 = 2034
1017 + 1017 = 2034

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 2034 by 2 and then rounded down to the nearest whole number if necessary.

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