What two numbers add up to 1959?

There are infinite combinations of two numbers that add up to 1959. Here are some examples using negative numbers:

-1 + 1960 = 1959
-2 + 1961 = 1959
-3 + 1962 = 1959
...

Here are some examples using two fractions that will add up to 1959:

1959/2 + 1959/2 = 1959
3918/3 + 1959/3 = 1959
5877/4 + 1959/4 = 1959
...

And here are some examples using two decimal numbers that will add up to 1959:

1.25 + 1957.75 = 1959
2.50 + 1956.5 = 1959
3.75 + 1955.25 = 1959
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1959?", 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 1959. (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 1959?" has 979 answers:

1 + 1958 = 1959
2 + 1957 = 1959
3 + 1956 = 1959
.
.
977 + 982 = 1959
978 + 981 = 1959
979 + 980 = 1959

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 1959 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 1960?
Here is the next problem on our list that we answered and explained in a similar fashion.