What two numbers add up to 4971?

There are infinite combinations of two numbers that add up to 4971. Here are some examples using negative numbers:

-1 + 4972 = 4971
-2 + 4973 = 4971
-3 + 4974 = 4971
...

Here are some examples using two fractions that will add up to 4971:

4971/2 + 4971/2 = 4971
9942/3 + 4971/3 = 4971
14913/4 + 4971/4 = 4971
...

And here are some examples using two decimal numbers that will add up to 4971:

1.25 + 4969.75 = 4971
2.50 + 4968.5 = 4971
3.75 + 4967.25 = 4971
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4971?", 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 4971. (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 4971?" has 2485 answers:

1 + 4970 = 4971
2 + 4969 = 4971
3 + 4968 = 4971
.
.
2483 + 2488 = 4971
2484 + 2487 = 4971
2485 + 2486 = 4971

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 4971 by 2 and then rounded down to the nearest whole number if necessary.

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