What two numbers add up to 5100?

There are infinite combinations of two numbers that add up to 5100. Here are some examples using negative numbers:

-1 + 5101 = 5100
-2 + 5102 = 5100
-3 + 5103 = 5100
...

Here are some examples using two fractions that will add up to 5100:

5100/2 + 5100/2 = 5100
10200/3 + 5100/3 = 5100
15300/4 + 5100/4 = 5100
...

And here are some examples using two decimal numbers that will add up to 5100:

1.25 + 5098.75 = 5100
2.50 + 5097.5 = 5100
3.75 + 5096.25 = 5100
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 5100?", 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 5100. (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 5100?" has 2550 answers:

1 + 5099 = 5100
2 + 5098 = 5100
3 + 5097 = 5100
.
.
2548 + 2552 = 5100
2549 + 2551 = 5100
2550 + 2550 = 5100

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 5100 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 5101?
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