What two numbers add up to 3841?

There are infinite combinations of two numbers that add up to 3841. Here are some examples using negative numbers:

-1 + 3842 = 3841
-2 + 3843 = 3841
-3 + 3844 = 3841
...

Here are some examples using two fractions that will add up to 3841:

3841/2 + 3841/2 = 3841
7682/3 + 3841/3 = 3841
11523/4 + 3841/4 = 3841
...

And here are some examples using two decimal numbers that will add up to 3841:

1.25 + 3839.75 = 3841
2.50 + 3838.5 = 3841
3.75 + 3837.25 = 3841
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3841?", 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 3841. (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 3841?" has 1920 answers:

1 + 3840 = 3841
2 + 3839 = 3841
3 + 3838 = 3841
.
.
1918 + 1923 = 3841
1919 + 1922 = 3841
1920 + 1921 = 3841

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 3841 by 2 and then rounded down to the nearest whole number if necessary.

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