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NSML20: Big Numbers Mystery Cache

Hidden : 8/12/2017
Difficulty:
4.5 out of 5
Terrain:
2 out of 5

Size: Size:   other (other)

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Geocache Description:

The geocache is not at the posted coordinates.  You must solve the puzzle below to find the coordinates.


If you aren't familiar with this kind of puzzle, you may want to try solving GC61BVX: (NSML02: a Micro Logic Tutorial) or GC65G5M (NSML08: An after-dark micro logic) first.

You can get the coordinates by solving the following: The nine letters (A, B, C, D, E, F, G, H, J) represent the digits from 1 to 9. No two letters are equal.  "B*A" represents multiplication and "BA" represents a two-digit number.  So if B=6 and A=3, then BA=63 and B*A=18.

JHEC = AFB + ADG
BC = AD + JJ

The geocache is hidden at N 45 05.X,  W 064 23.Y, where ....

X = HGE-JDA and Y = JCA+DFB


You can validate your puzzle solution with certitude.


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This cache owner
supports the
Association of Nova Scotia Geocaching


Additional Hints (Decrypt)

chggvat gur "zvpeb" va zvpeb ybtvp. Rireterra.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)