What two numbers add up to 8234?

There are infinite combinations of two numbers that add up to 8234. Here are some examples using negative numbers:

-1 + 8235 = 8234
-2 + 8236 = 8234
-3 + 8237 = 8234
...

Here are some examples using two fractions that will add up to 8234:

8234/2 + 8234/2 = 8234
16468/3 + 8234/3 = 8234
24702/4 + 8234/4 = 8234
...

And here are some examples using two decimal numbers that will add up to 8234:

1.25 + 8232.75 = 8234
2.50 + 8231.5 = 8234
3.75 + 8230.25 = 8234
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8234?", 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 8234. (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 8234?" has 4117 answers:

1 + 8233 = 8234
2 + 8232 = 8234
3 + 8231 = 8234
.
.
4115 + 4119 = 8234
4116 + 4118 = 8234
4117 + 4117 = 8234

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 8234 by 2 and then rounded down to the nearest whole number if necessary.

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