What two numbers add up to 9963?

There are infinite combinations of two numbers that add up to 9963. Here are some examples using negative numbers:

-1 + 9964 = 9963
-2 + 9965 = 9963
-3 + 9966 = 9963
...

Here are some examples using two fractions that will add up to 9963:

9963/2 + 9963/2 = 9963
19926/3 + 9963/3 = 9963
29889/4 + 9963/4 = 9963
...

And here are some examples using two decimal numbers that will add up to 9963:

1.25 + 9961.75 = 9963
2.50 + 9960.5 = 9963
3.75 + 9959.25 = 9963
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9963?", 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 9963. (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 9963?" has 4981 answers:

1 + 9962 = 9963
2 + 9961 = 9963
3 + 9960 = 9963
.
.
4979 + 4984 = 9963
4980 + 4983 = 9963
4981 + 4982 = 9963

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 9963 by 2 and then rounded down to the nearest whole number if necessary.

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