What two numbers add up to 8005?

There are infinite combinations of two numbers that add up to 8005. Here are some examples using negative numbers:

-1 + 8006 = 8005
-2 + 8007 = 8005
-3 + 8008 = 8005
...

Here are some examples using two fractions that will add up to 8005:

8005/2 + 8005/2 = 8005
16010/3 + 8005/3 = 8005
24015/4 + 8005/4 = 8005
...

And here are some examples using two decimal numbers that will add up to 8005:

1.25 + 8003.75 = 8005
2.50 + 8002.5 = 8005
3.75 + 8001.25 = 8005
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8005?", 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 8005. (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 8005?" has 4002 answers:

1 + 8004 = 8005
2 + 8003 = 8005
3 + 8002 = 8005
.
.
4000 + 4005 = 8005
4001 + 4004 = 8005
4002 + 4003 = 8005

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 8005 by 2 and then rounded down to the nearest whole number if necessary.

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