This is the fourth in a series of five puzzle caches hidden around the village of Kalithies. The given coordinates are not where you'll find the cache. To find the cache, you'll have to solve the following puzzle:
A lotto machine contains 10 balls with green numbers on them and 10 balls with red numbers. Each of the two sets of balls has one ball for each of the digits from 0 to 9.
One day, Zoe used the lotto machine to randomly dispense a ball with a red number and a ball with a green number to each of her friends Andreas, Basil and Cleo. Each of them only knew the numbers that they held themselves, though Zoe could see the numbers on all six balls that the lotto machine had dispensed. The four friends then had the following short conversation:
Zoe: I noticed that one of the green numbers is larger than the other two green numbers added together, and that one of the red numbers is larger than the other two red numbers added together. I can also tell you that the three green numbers add up to three more than the three red numbers.
Basil: Well that means that there are only six possible values for Andreas’ red number…and there are only seven possible values for his green number. I can also tell you that at least one of my two numbers is odd.
Cleo: I can see five possible values for Andreas’ green number.
Andreas: I now know what numbers everyone has.
Basil: I'm not certain of either of Andreas' or Cleo's two numbers.
Andreas: You'll be as certain as I am when I tell you that my green number and Cleo's red number differ by more than one.
You will find the cache at N36 20.ABC (green) E28 10.ABC (red).
The cache is the size of a drink can and contains a log book and plenty of space for tradeable items, though you will need to bring your own pen.
Good luck!
W (a.k.a. DidianRay)
You can validate your puzzle solution with certitude.
Special thanks to aliasmom for testing the solution to this puzzle and pointing out an error before publishing, and to nylimb for showing me a flaw in my logic that required a bit of a rewrite.