What two numbers add up to 9970?

There are infinite combinations of two numbers that add up to 9970. Here are some examples using negative numbers:

-1 + 9971 = 9970
-2 + 9972 = 9970
-3 + 9973 = 9970
...

Here are some examples using two fractions that will add up to 9970:

9970/2 + 9970/2 = 9970
19940/3 + 9970/3 = 9970
29910/4 + 9970/4 = 9970
...

And here are some examples using two decimal numbers that will add up to 9970:

1.25 + 9968.75 = 9970
2.50 + 9967.5 = 9970
3.75 + 9966.25 = 9970
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9970?", 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 9970. (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 9970?" has 4985 answers:

1 + 9969 = 9970
2 + 9968 = 9970
3 + 9967 = 9970
.
.
4983 + 4987 = 9970
4984 + 4986 = 9970
4985 + 4985 = 9970

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 9970 by 2 and then rounded down to the nearest whole number if necessary.

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