What two numbers add up to 2100?

There are infinite combinations of two numbers that add up to 2100. Here are some examples using negative numbers:

-1 + 2101 = 2100
-2 + 2102 = 2100
-3 + 2103 = 2100
...

Here are some examples using two fractions that will add up to 2100:

2100/2 + 2100/2 = 2100
4200/3 + 2100/3 = 2100
6300/4 + 2100/4 = 2100
...

And here are some examples using two decimal numbers that will add up to 2100:

1.25 + 2098.75 = 2100
2.50 + 2097.5 = 2100
3.75 + 2096.25 = 2100
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2100?", 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 2100. (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 2100?" has 1050 answers:

1 + 2099 = 2100
2 + 2098 = 2100
3 + 2097 = 2100
.
.
1048 + 1052 = 2100
1049 + 1051 = 2100
1050 + 1050 = 2100

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 2100 by 2 and then rounded down to the nearest whole number if necessary.

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