What two numbers add up to 2146?

There are infinite combinations of two numbers that add up to 2146. Here are some examples using negative numbers:

-1 + 2147 = 2146
-2 + 2148 = 2146
-3 + 2149 = 2146
...

Here are some examples using two fractions that will add up to 2146:

2146/2 + 2146/2 = 2146
4292/3 + 2146/3 = 2146
6438/4 + 2146/4 = 2146
...

And here are some examples using two decimal numbers that will add up to 2146:

1.25 + 2144.75 = 2146
2.50 + 2143.5 = 2146
3.75 + 2142.25 = 2146
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2146?", 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 2146. (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 2146?" has 1073 answers:

1 + 2145 = 2146
2 + 2144 = 2146
3 + 2143 = 2146
.
.
1071 + 1075 = 2146
1072 + 1074 = 2146
1073 + 1073 = 2146

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 2146 by 2 and then rounded down to the nearest whole number if necessary.

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