What two numbers add up to 2075?


There are infinite combinations of two numbers that add up to 2075. Here are some examples using negative numbers:

-1 + 2076 = 2075
-2 + 2077 = 2075
-3 + 2078 = 2075
...

Here are some examples using two fractions that will add up to 2075:

2075/2 + 2075/2 = 2075
4150/3 + 2075/3 = 2075
6225/4 + 2075/4 = 2075
...

And here are some examples using two decimal numbers that will add up to 2075:

1.25 + 2073.75 = 2075
2.50 + 2072.5 = 2075
3.75 + 2071.25 = 2075
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2075?", 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 2075. (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 2075?" has 1037 answers:

1 + 2074 = 2075
2 + 2073 = 2075
3 + 2072 = 2075
.
.
1035 + 1040 = 2075
1036 + 1039 = 2075
1037 + 1038 = 2075

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 2075 by 2 and then rounded down to the nearest whole number if necessary.


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What two numbers add up to 2076?
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