What two numbers add up to 2700?


There are infinite combinations of two numbers that add up to 2700. Here are some examples using negative numbers:

-1 + 2701 = 2700
-2 + 2702 = 2700
-3 + 2703 = 2700
...

Here are some examples using two fractions that will add up to 2700:

2700/2 + 2700/2 = 2700
5400/3 + 2700/3 = 2700
8100/4 + 2700/4 = 2700
...

And here are some examples using two decimal numbers that will add up to 2700:

1.25 + 2698.75 = 2700
2.50 + 2697.5 = 2700
3.75 + 2696.25 = 2700
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2700?", 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 2700. (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 2700?" has 1350 answers:

1 + 2699 = 2700
2 + 2698 = 2700
3 + 2697 = 2700
.
.
1348 + 1352 = 2700
1349 + 1351 = 2700
1350 + 1350 = 2700

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 2700 by 2 and then rounded down to the nearest whole number if necessary.


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What two numbers add up to 2701?
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