What two numbers add up to 8128?

There are infinite combinations of two numbers that add up to 8128. Here are some examples using negative numbers:

-1 + 8129 = 8128
-2 + 8130 = 8128
-3 + 8131 = 8128
...

Here are some examples using two fractions that will add up to 8128:

8128/2 + 8128/2 = 8128
16256/3 + 8128/3 = 8128
24384/4 + 8128/4 = 8128
...

And here are some examples using two decimal numbers that will add up to 8128:

1.25 + 8126.75 = 8128
2.50 + 8125.5 = 8128
3.75 + 8124.25 = 8128
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8128?", 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 8128. (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 8128?" has 4064 answers:

1 + 8127 = 8128
2 + 8126 = 8128
3 + 8125 = 8128
.
.
4062 + 4066 = 8128
4063 + 4065 = 8128
4064 + 4064 = 8128

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 8128 by 2 and then rounded down to the nearest whole number if necessary.

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