What two numbers add up to 4719?

There are infinite combinations of two numbers that add up to 4719. Here are some examples using negative numbers:

-1 + 4720 = 4719
-2 + 4721 = 4719
-3 + 4722 = 4719
...

Here are some examples using two fractions that will add up to 4719:

4719/2 + 4719/2 = 4719
9438/3 + 4719/3 = 4719
14157/4 + 4719/4 = 4719
...

And here are some examples using two decimal numbers that will add up to 4719:

1.25 + 4717.75 = 4719
2.50 + 4716.5 = 4719
3.75 + 4715.25 = 4719
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4719?", 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 4719. (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 4719?" has 2359 answers:

1 + 4718 = 4719
2 + 4717 = 4719
3 + 4716 = 4719
.
.
2357 + 2362 = 4719
2358 + 2361 = 4719
2359 + 2360 = 4719

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 4719 by 2 and then rounded down to the nearest whole number if necessary.

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