What two numbers add up to 7744?

There are infinite combinations of two numbers that add up to 7744. Here are some examples using negative numbers:

-1 + 7745 = 7744
-2 + 7746 = 7744
-3 + 7747 = 7744
...

Here are some examples using two fractions that will add up to 7744:

7744/2 + 7744/2 = 7744
15488/3 + 7744/3 = 7744
23232/4 + 7744/4 = 7744
...

And here are some examples using two decimal numbers that will add up to 7744:

1.25 + 7742.75 = 7744
2.50 + 7741.5 = 7744
3.75 + 7740.25 = 7744
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 7744?", 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 7744. (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 7744?" has 3872 answers:

1 + 7743 = 7744
2 + 7742 = 7744
3 + 7741 = 7744
.
.
3870 + 3874 = 7744
3871 + 3873 = 7744
3872 + 3872 = 7744

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 7744 by 2 and then rounded down to the nearest whole number if necessary.

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