What two numbers add up to 4085?

There are infinite combinations of two numbers that add up to 4085. Here are some examples using negative numbers:

-1 + 4086 = 4085
-2 + 4087 = 4085
-3 + 4088 = 4085
...

Here are some examples using two fractions that will add up to 4085:

4085/2 + 4085/2 = 4085
8170/3 + 4085/3 = 4085
12255/4 + 4085/4 = 4085
...

And here are some examples using two decimal numbers that will add up to 4085:

1.25 + 4083.75 = 4085
2.50 + 4082.5 = 4085
3.75 + 4081.25 = 4085
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4085?", 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 4085. (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 4085?" has 2042 answers:

1 + 4084 = 4085
2 + 4083 = 4085
3 + 4082 = 4085
.
.
2040 + 2045 = 4085
2041 + 2044 = 4085
2042 + 2043 = 4085

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 4085 by 2 and then rounded down to the nearest whole number if necessary.

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