What two numbers add up to 7697?

There are infinite combinations of two numbers that add up to 7697. Here are some examples using negative numbers:

-1 + 7698 = 7697
-2 + 7699 = 7697
-3 + 7700 = 7697
...

Here are some examples using two fractions that will add up to 7697:

7697/2 + 7697/2 = 7697
15394/3 + 7697/3 = 7697
23091/4 + 7697/4 = 7697
...

And here are some examples using two decimal numbers that will add up to 7697:

1.25 + 7695.75 = 7697
2.50 + 7694.5 = 7697
3.75 + 7693.25 = 7697
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 7697?", 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 7697. (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 7697?" has 3848 answers:

1 + 7696 = 7697
2 + 7695 = 7697
3 + 7694 = 7697
.
.
3846 + 3851 = 7697
3847 + 3850 = 7697
3848 + 3849 = 7697

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 7697 by 2 and then rounded down to the nearest whole number if necessary.

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