What two numbers add up to 3926?

There are infinite combinations of two numbers that add up to 3926. Here are some examples using negative numbers:

-1 + 3927 = 3926
-2 + 3928 = 3926
-3 + 3929 = 3926
...

Here are some examples using two fractions that will add up to 3926:

3926/2 + 3926/2 = 3926
7852/3 + 3926/3 = 3926
11778/4 + 3926/4 = 3926
...

And here are some examples using two decimal numbers that will add up to 3926:

1.25 + 3924.75 = 3926
2.50 + 3923.5 = 3926
3.75 + 3922.25 = 3926
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3926?", 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 3926. (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 3926?" has 1963 answers:

1 + 3925 = 3926
2 + 3924 = 3926
3 + 3923 = 3926
.
.
1961 + 1965 = 3926
1962 + 1964 = 3926
1963 + 1963 = 3926

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 3926 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 3927?
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