What two numbers add up to 821?

There are infinite combinations of two numbers that add up to 821. Here are some examples using negative numbers:

-1 + 822 = 821
-2 + 823 = 821
-3 + 824 = 821
...

Here are some examples using two fractions that will add up to 821:

821/2 + 821/2 = 821
1642/3 + 821/3 = 821
2463/4 + 821/4 = 821
...

And here are some examples using two decimal numbers that will add up to 821:

1.25 + 819.75 = 821
2.50 + 818.5 = 821
3.75 + 817.25 = 821
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 821?", 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 821. (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 821?" has 410 answers:

1 + 820 = 821
2 + 819 = 821
3 + 818 = 821
.
.
408 + 413 = 821
409 + 412 = 821
410 + 411 = 821

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

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