What two numbers add up to 5105?

There are infinite combinations of two numbers that add up to 5105. Here are some examples using negative numbers:

-1 + 5106 = 5105
-2 + 5107 = 5105
-3 + 5108 = 5105
...

Here are some examples using two fractions that will add up to 5105:

5105/2 + 5105/2 = 5105
10210/3 + 5105/3 = 5105
15315/4 + 5105/4 = 5105
...

And here are some examples using two decimal numbers that will add up to 5105:

1.25 + 5103.75 = 5105
2.50 + 5102.5 = 5105
3.75 + 5101.25 = 5105
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 5105?", 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 5105. (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 5105?" has 2552 answers:

1 + 5104 = 5105
2 + 5103 = 5105
3 + 5102 = 5105
.
.
2550 + 2555 = 5105
2551 + 2554 = 5105
2552 + 2553 = 5105

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 5105 by 2 and then rounded down to the nearest whole number if necessary.

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