What two numbers add up to 2401?

There are infinite combinations of two numbers that add up to 2401. Here are some examples using negative numbers:

-1 + 2402 = 2401
-2 + 2403 = 2401
-3 + 2404 = 2401
...

Here are some examples using two fractions that will add up to 2401:

2401/2 + 2401/2 = 2401
4802/3 + 2401/3 = 2401
7203/4 + 2401/4 = 2401
...

And here are some examples using two decimal numbers that will add up to 2401:

1.25 + 2399.75 = 2401
2.50 + 2398.5 = 2401
3.75 + 2397.25 = 2401
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2401?", 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 2401. (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 2401?" has 1200 answers:

1 + 2400 = 2401
2 + 2399 = 2401
3 + 2398 = 2401
.
.
1198 + 1203 = 2401
1199 + 1202 = 2401
1200 + 1201 = 2401

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 2401 by 2 and then rounded down to the nearest whole number if necessary.

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