What two numbers add up to 3005?

There are infinite combinations of two numbers that add up to 3005. Here are some examples using negative numbers:

-1 + 3006 = 3005
-2 + 3007 = 3005
-3 + 3008 = 3005
...

Here are some examples using two fractions that will add up to 3005:

3005/2 + 3005/2 = 3005
6010/3 + 3005/3 = 3005
9015/4 + 3005/4 = 3005
...

And here are some examples using two decimal numbers that will add up to 3005:

1.25 + 3003.75 = 3005
2.50 + 3002.5 = 3005
3.75 + 3001.25 = 3005
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3005?", 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 3005. (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 3005?" has 1502 answers:

1 + 3004 = 3005
2 + 3003 = 3005
3 + 3002 = 3005
.
.
1500 + 1505 = 3005
1501 + 1504 = 3005
1502 + 1503 = 3005

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 3005 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 3006?
Here is the next problem on our list that we answered and explained in a similar fashion.