What two numbers add up to 7828?

There are infinite combinations of two numbers that add up to 7828. Here are some examples using negative numbers:

-1 + 7829 = 7828
-2 + 7830 = 7828
-3 + 7831 = 7828
...

Here are some examples using two fractions that will add up to 7828:

7828/2 + 7828/2 = 7828
15656/3 + 7828/3 = 7828
23484/4 + 7828/4 = 7828
...

And here are some examples using two decimal numbers that will add up to 7828:

1.25 + 7826.75 = 7828
2.50 + 7825.5 = 7828
3.75 + 7824.25 = 7828
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 7828?", 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 7828. (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 7828?" has 3914 answers:

1 + 7827 = 7828
2 + 7826 = 7828
3 + 7825 = 7828
.
.
3912 + 3916 = 7828
3913 + 3915 = 7828
3914 + 3914 = 7828

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 7828 by 2 and then rounded down to the nearest whole number if necessary.

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