What two numbers add up to 9974?

There are infinite combinations of two numbers that add up to 9974. Here are some examples using negative numbers:

-1 + 9975 = 9974
-2 + 9976 = 9974
-3 + 9977 = 9974
...

Here are some examples using two fractions that will add up to 9974:

9974/2 + 9974/2 = 9974
19948/3 + 9974/3 = 9974
29922/4 + 9974/4 = 9974
...

And here are some examples using two decimal numbers that will add up to 9974:

1.25 + 9972.75 = 9974
2.50 + 9971.5 = 9974
3.75 + 9970.25 = 9974
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 9974?", 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 9974. (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 9974?" has 4987 answers:

1 + 9973 = 9974
2 + 9972 = 9974
3 + 9971 = 9974
.
.
4985 + 4989 = 9974
4986 + 4988 = 9974
4987 + 4987 = 9974

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 9974 by 2 and then rounded down to the nearest whole number if necessary.

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