What two numbers add up to 1234?

There are infinite combinations of two numbers that add up to 1234. Here are some examples using negative numbers:

-1 + 1235 = 1234
-2 + 1236 = 1234
-3 + 1237 = 1234
...

Here are some examples using two fractions that will add up to 1234:

1234/2 + 1234/2 = 1234
2468/3 + 1234/3 = 1234
3702/4 + 1234/4 = 1234
...

And here are some examples using two decimal numbers that will add up to 1234:

1.25 + 1232.75 = 1234
2.50 + 1231.5 = 1234
3.75 + 1230.25 = 1234
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1234?", 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 1234. (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 1234?" has 617 answers:

1 + 1233 = 1234
2 + 1232 = 1234
3 + 1231 = 1234
.
.
615 + 619 = 1234
616 + 618 = 1234
617 + 617 = 1234

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 1234 by 2 and then rounded down to the nearest whole number if necessary.

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