What two numbers add up to 2500?


There are infinite combinations of two numbers that add up to 2500. Here are some examples using negative numbers:

-1 + 2501 = 2500
-2 + 2502 = 2500
-3 + 2503 = 2500
...

Here are some examples using two fractions that will add up to 2500:

2500/2 + 2500/2 = 2500
5000/3 + 2500/3 = 2500
7500/4 + 2500/4 = 2500
...

And here are some examples using two decimal numbers that will add up to 2500:

1.25 + 2498.75 = 2500
2.50 + 2497.5 = 2500
3.75 + 2496.25 = 2500
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2500?", 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 2500. (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 2500?" has 1250 answers:

1 + 2499 = 2500
2 + 2498 = 2500
3 + 2497 = 2500
.
.
1248 + 1252 = 2500
1249 + 1251 = 2500
1250 + 1250 = 2500

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 2500 by 2 and then rounded down to the nearest whole number if necessary.


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What two numbers add up to 2501?
Here is the next problem on our list that we answered and explained in a similar fashion.


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