What two numbers add up to 8087?

There are infinite combinations of two numbers that add up to 8087. Here are some examples using negative numbers:

-1 + 8088 = 8087
-2 + 8089 = 8087
-3 + 8090 = 8087
...

Here are some examples using two fractions that will add up to 8087:

8087/2 + 8087/2 = 8087
16174/3 + 8087/3 = 8087
24261/4 + 8087/4 = 8087
...

And here are some examples using two decimal numbers that will add up to 8087:

1.25 + 8085.75 = 8087
2.50 + 8084.5 = 8087
3.75 + 8083.25 = 8087
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8087?", 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 8087. (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 8087?" has 4043 answers:

1 + 8086 = 8087
2 + 8085 = 8087
3 + 8084 = 8087
.
.
4041 + 4046 = 8087
4042 + 4045 = 8087
4043 + 4044 = 8087

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 8087 by 2 and then rounded down to the nearest whole number if necessary.

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