What two numbers add up to 4737?

There are infinite combinations of two numbers that add up to 4737. Here are some examples using negative numbers:

-1 + 4738 = 4737
-2 + 4739 = 4737
-3 + 4740 = 4737
...

Here are some examples using two fractions that will add up to 4737:

4737/2 + 4737/2 = 4737
9474/3 + 4737/3 = 4737
14211/4 + 4737/4 = 4737
...

And here are some examples using two decimal numbers that will add up to 4737:

1.25 + 4735.75 = 4737
2.50 + 4734.5 = 4737
3.75 + 4733.25 = 4737
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4737?", 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 4737. (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 4737?" has 2368 answers:

1 + 4736 = 4737
2 + 4735 = 4737
3 + 4734 = 4737
.
.
2366 + 2371 = 4737
2367 + 2370 = 4737
2368 + 2369 = 4737

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 4737 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4738?
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