What two numbers add up to 1659?

There are infinite combinations of two numbers that add up to 1659. Here are some examples using negative numbers:

-1 + 1660 = 1659
-2 + 1661 = 1659
-3 + 1662 = 1659
...

Here are some examples using two fractions that will add up to 1659:

1659/2 + 1659/2 = 1659
3318/3 + 1659/3 = 1659
4977/4 + 1659/4 = 1659
...

And here are some examples using two decimal numbers that will add up to 1659:

1.25 + 1657.75 = 1659
2.50 + 1656.5 = 1659
3.75 + 1655.25 = 1659
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1659?", 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 1659. (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 1659?" has 829 answers:

1 + 1658 = 1659
2 + 1657 = 1659
3 + 1656 = 1659
.
.
827 + 832 = 1659
828 + 831 = 1659
829 + 830 = 1659

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 1659 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 1660?
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