What two numbers add up to 9946?

There are infinite combinations of two numbers that add up to 9946. Here are some examples using negative numbers:

-1 + 9947 = 9946
-2 + 9948 = 9946
-3 + 9949 = 9946
...

Here are some examples using two fractions that will add up to 9946:

9946/2 + 9946/2 = 9946
19892/3 + 9946/3 = 9946
29838/4 + 9946/4 = 9946
...

And here are some examples using two decimal numbers that will add up to 9946:

1.25 + 9944.75 = 9946
2.50 + 9943.5 = 9946
3.75 + 9942.25 = 9946
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9946?", 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 9946. (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 9946?" has 4973 answers:

1 + 9945 = 9946
2 + 9944 = 9946
3 + 9943 = 9946
.
.
4971 + 4975 = 9946
4972 + 4974 = 9946
4973 + 4973 = 9946

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 9946 by 2 and then rounded down to the nearest whole number if necessary.

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