What two numbers add up to 4709?

There are infinite combinations of two numbers that add up to 4709. Here are some examples using negative numbers:

-1 + 4710 = 4709
-2 + 4711 = 4709
-3 + 4712 = 4709
...

Here are some examples using two fractions that will add up to 4709:

4709/2 + 4709/2 = 4709
9418/3 + 4709/3 = 4709
14127/4 + 4709/4 = 4709
...

And here are some examples using two decimal numbers that will add up to 4709:

1.25 + 4707.75 = 4709
2.50 + 4706.5 = 4709
3.75 + 4705.25 = 4709
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4709?", 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 4709. (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 4709?" has 2354 answers:

1 + 4708 = 4709
2 + 4707 = 4709
3 + 4706 = 4709
.
.
2352 + 2357 = 4709
2353 + 2356 = 4709
2354 + 2355 = 4709

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 4709 by 2 and then rounded down to the nearest whole number if necessary.

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