What two numbers add up to 2288?

There are infinite combinations of two numbers that add up to 2288. Here are some examples using negative numbers:

-1 + 2289 = 2288
-2 + 2290 = 2288
-3 + 2291 = 2288
...

Here are some examples using two fractions that will add up to 2288:

2288/2 + 2288/2 = 2288
4576/3 + 2288/3 = 2288
6864/4 + 2288/4 = 2288
...

And here are some examples using two decimal numbers that will add up to 2288:

1.25 + 2286.75 = 2288
2.50 + 2285.5 = 2288
3.75 + 2284.25 = 2288
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2288?", 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 2288. (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 2288?" has 1144 answers:

1 + 2287 = 2288
2 + 2286 = 2288
3 + 2285 = 2288
.
.
1142 + 1146 = 2288
1143 + 1145 = 2288
1144 + 1144 = 2288

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 2288 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2289?
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