What two numbers add up to 4334?

There are infinite combinations of two numbers that add up to 4334. Here are some examples using negative numbers:

-1 + 4335 = 4334
-2 + 4336 = 4334
-3 + 4337 = 4334
...

Here are some examples using two fractions that will add up to 4334:

4334/2 + 4334/2 = 4334
8668/3 + 4334/3 = 4334
13002/4 + 4334/4 = 4334
...

And here are some examples using two decimal numbers that will add up to 4334:

1.25 + 4332.75 = 4334
2.50 + 4331.5 = 4334
3.75 + 4330.25 = 4334
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4334?", 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 4334. (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 4334?" has 2167 answers:

1 + 4333 = 4334
2 + 4332 = 4334
3 + 4331 = 4334
.
.
2165 + 2169 = 4334
2166 + 2168 = 4334
2167 + 2167 = 4334

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 4334 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4335?
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