What two numbers add up to 3699?

There are infinite combinations of two numbers that add up to 3699. Here are some examples using negative numbers:

-1 + 3700 = 3699
-2 + 3701 = 3699
-3 + 3702 = 3699
...

Here are some examples using two fractions that will add up to 3699:

3699/2 + 3699/2 = 3699
7398/3 + 3699/3 = 3699
11097/4 + 3699/4 = 3699
...

And here are some examples using two decimal numbers that will add up to 3699:

1.25 + 3697.75 = 3699
2.50 + 3696.5 = 3699
3.75 + 3695.25 = 3699
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 3699?", 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 3699. (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 3699?" has 1849 answers:

1 + 3698 = 3699
2 + 3697 = 3699
3 + 3696 = 3699
.
.
1847 + 1852 = 3699
1848 + 1851 = 3699
1849 + 1850 = 3699

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 3699 by 2 and then rounded down to the nearest whole number if necessary.

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