What two numbers add up to 2097?

There are infinite combinations of two numbers that add up to 2097. Here are some examples using negative numbers:

-1 + 2098 = 2097
-2 + 2099 = 2097
-3 + 2100 = 2097
...

Here are some examples using two fractions that will add up to 2097:

2097/2 + 2097/2 = 2097
4194/3 + 2097/3 = 2097
6291/4 + 2097/4 = 2097
...

And here are some examples using two decimal numbers that will add up to 2097:

1.25 + 2095.75 = 2097
2.50 + 2094.5 = 2097
3.75 + 2093.25 = 2097
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2097?", 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 2097. (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 2097?" has 1048 answers:

1 + 2096 = 2097
2 + 2095 = 2097
3 + 2094 = 2097
.
.
1046 + 1051 = 2097
1047 + 1050 = 2097
1048 + 1049 = 2097

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 2097 by 2 and then rounded down to the nearest whole number if necessary.

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