What two numbers add up to 2960?

There are infinite combinations of two numbers that add up to 2960. Here are some examples using negative numbers:

-1 + 2961 = 2960
-2 + 2962 = 2960
-3 + 2963 = 2960
...

Here are some examples using two fractions that will add up to 2960:

2960/2 + 2960/2 = 2960
5920/3 + 2960/3 = 2960
8880/4 + 2960/4 = 2960
...

And here are some examples using two decimal numbers that will add up to 2960:

1.25 + 2958.75 = 2960
2.50 + 2957.5 = 2960
3.75 + 2956.25 = 2960
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2960?", 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 2960. (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 2960?" has 1480 answers:

1 + 2959 = 2960
2 + 2958 = 2960
3 + 2957 = 2960
.
.
1478 + 1482 = 2960
1479 + 1481 = 2960
1480 + 1480 = 2960

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 2960 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2961?
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