What two numbers add up to 1838?

There are infinite combinations of two numbers that add up to 1838. Here are some examples using negative numbers:

-1 + 1839 = 1838
-2 + 1840 = 1838
-3 + 1841 = 1838
...

Here are some examples using two fractions that will add up to 1838:

1838/2 + 1838/2 = 1838
3676/3 + 1838/3 = 1838
5514/4 + 1838/4 = 1838
...

And here are some examples using two decimal numbers that will add up to 1838:

1.25 + 1836.75 = 1838
2.50 + 1835.5 = 1838
3.75 + 1834.25 = 1838
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1838?", 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 1838. (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 1838?" has 919 answers:

1 + 1837 = 1838
2 + 1836 = 1838
3 + 1835 = 1838
.
.
917 + 921 = 1838
918 + 920 = 1838
919 + 919 = 1838

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 1838 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 1839?
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