What two numbers add up to 4071?

There are infinite combinations of two numbers that add up to 4071. Here are some examples using negative numbers:

-1 + 4072 = 4071
-2 + 4073 = 4071
-3 + 4074 = 4071
...

Here are some examples using two fractions that will add up to 4071:

4071/2 + 4071/2 = 4071
8142/3 + 4071/3 = 4071
12213/4 + 4071/4 = 4071
...

And here are some examples using two decimal numbers that will add up to 4071:

1.25 + 4069.75 = 4071
2.50 + 4068.5 = 4071
3.75 + 4067.25 = 4071
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4071?", 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 4071. (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 4071?" has 2035 answers:

1 + 4070 = 4071
2 + 4069 = 4071
3 + 4068 = 4071
.
.
2033 + 2038 = 4071
2034 + 2037 = 4071
2035 + 2036 = 4071

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 4071 by 2 and then rounded down to the nearest whole number if necessary.

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