What two numbers add up to 2082?

There are infinite combinations of two numbers that add up to 2082. Here are some examples using negative numbers:

-1 + 2083 = 2082
-2 + 2084 = 2082
-3 + 2085 = 2082
...

Here are some examples using two fractions that will add up to 2082:

2082/2 + 2082/2 = 2082
4164/3 + 2082/3 = 2082
6246/4 + 2082/4 = 2082
...

And here are some examples using two decimal numbers that will add up to 2082:

1.25 + 2080.75 = 2082
2.50 + 2079.5 = 2082
3.75 + 2078.25 = 2082
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2082?", 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 2082. (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 2082?" has 1041 answers:

1 + 2081 = 2082
2 + 2080 = 2082
3 + 2079 = 2082
.
.
1039 + 1043 = 2082
1040 + 1042 = 2082
1041 + 1041 = 2082

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 2082 by 2 and then rounded down to the nearest whole number if necessary.

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