What two numbers add up to 4949?

There are infinite combinations of two numbers that add up to 4949. Here are some examples using negative numbers:

-1 + 4950 = 4949
-2 + 4951 = 4949
-3 + 4952 = 4949
...

Here are some examples using two fractions that will add up to 4949:

4949/2 + 4949/2 = 4949
9898/3 + 4949/3 = 4949
14847/4 + 4949/4 = 4949
...

And here are some examples using two decimal numbers that will add up to 4949:

1.25 + 4947.75 = 4949
2.50 + 4946.5 = 4949
3.75 + 4945.25 = 4949
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4949?", 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 4949. (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 4949?" has 2474 answers:

1 + 4948 = 4949
2 + 4947 = 4949
3 + 4946 = 4949
.
.
2472 + 2477 = 4949
2473 + 2476 = 4949
2474 + 2475 = 4949

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 4949 by 2 and then rounded down to the nearest whole number if necessary.

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