What two numbers add up to 1022?

There are infinite combinations of two numbers that add up to 1022. Here are some examples using negative numbers:

-1 + 1023 = 1022
-2 + 1024 = 1022
-3 + 1025 = 1022
...

Here are some examples using two fractions that will add up to 1022:

1022/2 + 1022/2 = 1022
2044/3 + 1022/3 = 1022
3066/4 + 1022/4 = 1022
...

And here are some examples using two decimal numbers that will add up to 1022:

1.25 + 1020.75 = 1022
2.50 + 1019.5 = 1022
3.75 + 1018.25 = 1022
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1022?", 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 1022. (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 1022?" has 511 answers:

1 + 1021 = 1022
2 + 1020 = 1022
3 + 1019 = 1022
.
.
509 + 513 = 1022
510 + 512 = 1022
511 + 511 = 1022

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 1022 by 2 and then rounded down to the nearest whole number if necessary.

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