What two numbers add up to 7825?

There are infinite combinations of two numbers that add up to 7825. Here are some examples using negative numbers:

-1 + 7826 = 7825
-2 + 7827 = 7825
-3 + 7828 = 7825
...

Here are some examples using two fractions that will add up to 7825:

7825/2 + 7825/2 = 7825
15650/3 + 7825/3 = 7825
23475/4 + 7825/4 = 7825
...

And here are some examples using two decimal numbers that will add up to 7825:

1.25 + 7823.75 = 7825
2.50 + 7822.5 = 7825
3.75 + 7821.25 = 7825
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 7825?", 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 7825. (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 7825?" has 3912 answers:

1 + 7824 = 7825
2 + 7823 = 7825
3 + 7822 = 7825
.
.
3910 + 3915 = 7825
3911 + 3914 = 7825
3912 + 3913 = 7825

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 7825 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 7826?
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