What two numbers add up to 3946?

There are infinite combinations of two numbers that add up to 3946. Here are some examples using negative numbers:

-1 + 3947 = 3946
-2 + 3948 = 3946
-3 + 3949 = 3946
...

Here are some examples using two fractions that will add up to 3946:

3946/2 + 3946/2 = 3946
7892/3 + 3946/3 = 3946
11838/4 + 3946/4 = 3946
...

And here are some examples using two decimal numbers that will add up to 3946:

1.25 + 3944.75 = 3946
2.50 + 3943.5 = 3946
3.75 + 3942.25 = 3946
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3946?", 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 3946. (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 3946?" has 1973 answers:

1 + 3945 = 3946
2 + 3944 = 3946
3 + 3943 = 3946
.
.
1971 + 1975 = 3946
1972 + 1974 = 3946
1973 + 1973 = 3946

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 3946 by 2 and then rounded down to the nearest whole number if necessary.

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