What two numbers add up to 4222?

There are infinite combinations of two numbers that add up to 4222. Here are some examples using negative numbers:

-1 + 4223 = 4222
-2 + 4224 = 4222
-3 + 4225 = 4222
...

Here are some examples using two fractions that will add up to 4222:

4222/2 + 4222/2 = 4222
8444/3 + 4222/3 = 4222
12666/4 + 4222/4 = 4222
...

And here are some examples using two decimal numbers that will add up to 4222:

1.25 + 4220.75 = 4222
2.50 + 4219.5 = 4222
3.75 + 4218.25 = 4222
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4222?", 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 4222. (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 4222?" has 2111 answers:

1 + 4221 = 4222
2 + 4220 = 4222
3 + 4219 = 4222
.
.
2109 + 2113 = 4222
2110 + 2112 = 4222
2111 + 2111 = 4222

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 4222 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4223?
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