What two numbers add up to 2800?


There are infinite combinations of two numbers that add up to 2800. Here are some examples using negative numbers:

-1 + 2801 = 2800
-2 + 2802 = 2800
-3 + 2803 = 2800
...

Here are some examples using two fractions that will add up to 2800:

2800/2 + 2800/2 = 2800
5600/3 + 2800/3 = 2800
8400/4 + 2800/4 = 2800
...

And here are some examples using two decimal numbers that will add up to 2800:

1.25 + 2798.75 = 2800
2.50 + 2797.5 = 2800
3.75 + 2796.25 = 2800
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2800?", 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 2800. (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 2800?" has 1400 answers:

1 + 2799 = 2800
2 + 2798 = 2800
3 + 2797 = 2800
.
.
1398 + 1402 = 2800
1399 + 1401 = 2800
1400 + 1400 = 2800

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 2800 by 2 and then rounded down to the nearest whole number if necessary.


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What two numbers add up to 2801?
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