What two numbers add up to 2300?


There are infinite combinations of two numbers that add up to 2300. Here are some examples using negative numbers:

-1 + 2301 = 2300
-2 + 2302 = 2300
-3 + 2303 = 2300
...

Here are some examples using two fractions that will add up to 2300:

2300/2 + 2300/2 = 2300
4600/3 + 2300/3 = 2300
6900/4 + 2300/4 = 2300
...

And here are some examples using two decimal numbers that will add up to 2300:

1.25 + 2298.75 = 2300
2.50 + 2297.5 = 2300
3.75 + 2296.25 = 2300
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2300?", 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 2300. (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 2300?" has 1150 answers:

1 + 2299 = 2300
2 + 2298 = 2300
3 + 2297 = 2300
.
.
1148 + 1152 = 2300
1149 + 1151 = 2300
1150 + 1150 = 2300

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 2300 by 2 and then rounded down to the nearest whole number if necessary.


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What two numbers add up to 2301?
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