What two numbers add up to 4953?

There are infinite combinations of two numbers that add up to 4953. Here are some examples using negative numbers:

-1 + 4954 = 4953
-2 + 4955 = 4953
-3 + 4956 = 4953
...

Here are some examples using two fractions that will add up to 4953:

4953/2 + 4953/2 = 4953
9906/3 + 4953/3 = 4953
14859/4 + 4953/4 = 4953
...

And here are some examples using two decimal numbers that will add up to 4953:

1.25 + 4951.75 = 4953
2.50 + 4950.5 = 4953
3.75 + 4949.25 = 4953
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4953?", 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 4953. (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 4953?" has 2476 answers:

1 + 4952 = 4953
2 + 4951 = 4953
3 + 4950 = 4953
.
.
2474 + 2479 = 4953
2475 + 2478 = 4953
2476 + 2477 = 4953

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 4953 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4954?
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