What two numbers add up to 9701?

There are infinite combinations of two numbers that add up to 9701. Here are some examples using negative numbers:

-1 + 9702 = 9701
-2 + 9703 = 9701
-3 + 9704 = 9701
...

Here are some examples using two fractions that will add up to 9701:

9701/2 + 9701/2 = 9701
19402/3 + 9701/3 = 9701
29103/4 + 9701/4 = 9701
...

And here are some examples using two decimal numbers that will add up to 9701:

1.25 + 9699.75 = 9701
2.50 + 9698.5 = 9701
3.75 + 9697.25 = 9701
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9701?", 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 9701. (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 9701?" has 4850 answers:

1 + 9700 = 9701
2 + 9699 = 9701
3 + 9698 = 9701
.
.
4848 + 4853 = 9701
4849 + 4852 = 9701
4850 + 4851 = 9701

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 9701 by 2 and then rounded down to the nearest whole number if necessary.

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