What two numbers add up to 3968?

There are infinite combinations of two numbers that add up to 3968. Here are some examples using negative numbers:

-1 + 3969 = 3968
-2 + 3970 = 3968
-3 + 3971 = 3968
...

Here are some examples using two fractions that will add up to 3968:

3968/2 + 3968/2 = 3968
7936/3 + 3968/3 = 3968
11904/4 + 3968/4 = 3968
...

And here are some examples using two decimal numbers that will add up to 3968:

1.25 + 3966.75 = 3968
2.50 + 3965.5 = 3968
3.75 + 3964.25 = 3968
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3968?", 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 3968. (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 3968?" has 1984 answers:

1 + 3967 = 3968
2 + 3966 = 3968
3 + 3965 = 3968
.
.
1982 + 1986 = 3968
1983 + 1985 = 3968
1984 + 1984 = 3968

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 3968 by 2 and then rounded down to the nearest whole number if necessary.

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