What two numbers add up to 8084?

There are infinite combinations of two numbers that add up to 8084. Here are some examples using negative numbers:

-1 + 8085 = 8084
-2 + 8086 = 8084
-3 + 8087 = 8084
...

Here are some examples using two fractions that will add up to 8084:

8084/2 + 8084/2 = 8084
16168/3 + 8084/3 = 8084
24252/4 + 8084/4 = 8084
...

And here are some examples using two decimal numbers that will add up to 8084:

1.25 + 8082.75 = 8084
2.50 + 8081.5 = 8084
3.75 + 8080.25 = 8084
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8084?", 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 8084. (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 8084?" has 4042 answers:

1 + 8083 = 8084
2 + 8082 = 8084
3 + 8081 = 8084
.
.
4040 + 4044 = 8084
4041 + 4043 = 8084
4042 + 4042 = 8084

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 8084 by 2 and then rounded down to the nearest whole number if necessary.

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