What two numbers add up to 3709?

There are infinite combinations of two numbers that add up to 3709. Here are some examples using negative numbers:

-1 + 3710 = 3709
-2 + 3711 = 3709
-3 + 3712 = 3709
...

Here are some examples using two fractions that will add up to 3709:

3709/2 + 3709/2 = 3709
7418/3 + 3709/3 = 3709
11127/4 + 3709/4 = 3709
...

And here are some examples using two decimal numbers that will add up to 3709:

1.25 + 3707.75 = 3709
2.50 + 3706.5 = 3709
3.75 + 3705.25 = 3709
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3709?", 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 3709. (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 3709?" has 1854 answers:

1 + 3708 = 3709
2 + 3707 = 3709
3 + 3706 = 3709
.
.
1852 + 1857 = 3709
1853 + 1856 = 3709
1854 + 1855 = 3709

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 3709 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 3710?
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