What two numbers add up to 2009?

There are infinite combinations of two numbers that add up to 2009. Here are some examples using negative numbers:

-1 + 2010 = 2009
-2 + 2011 = 2009
-3 + 2012 = 2009
...

Here are some examples using two fractions that will add up to 2009:

2009/2 + 2009/2 = 2009
4018/3 + 2009/3 = 2009
6027/4 + 2009/4 = 2009
...

And here are some examples using two decimal numbers that will add up to 2009:

1.25 + 2007.75 = 2009
2.50 + 2006.5 = 2009
3.75 + 2005.25 = 2009
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2009?", 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 2009. (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 2009?" has 1004 answers:

1 + 2008 = 2009
2 + 2007 = 2009
3 + 2006 = 2009
.
.
1002 + 1007 = 2009
1003 + 1006 = 2009
1004 + 1005 = 2009

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 2009 by 2 and then rounded down to the nearest whole number if necessary.

Numbers That Add Up To Calculator
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What two numbers add up to 2010?
Here is the next problem on our list that we answered and explained in a similar fashion.