What two numbers add up to 3009?

There are infinite combinations of two numbers that add up to 3009. Here are some examples using negative numbers:

-1 + 3010 = 3009
-2 + 3011 = 3009
-3 + 3012 = 3009
...

Here are some examples using two fractions that will add up to 3009:

3009/2 + 3009/2 = 3009
6018/3 + 3009/3 = 3009
9027/4 + 3009/4 = 3009
...

And here are some examples using two decimal numbers that will add up to 3009:

1.25 + 3007.75 = 3009
2.50 + 3006.5 = 3009
3.75 + 3005.25 = 3009
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3009?", 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 3009. (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 3009?" has 1504 answers:

1 + 3008 = 3009
2 + 3007 = 3009
3 + 3006 = 3009
.
.
1502 + 1507 = 3009
1503 + 1506 = 3009
1504 + 1505 = 3009

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 3009 by 2 and then rounded down to the nearest whole number if necessary.

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