The alphabetical positions of Z, G, Y, H and S are respectively 26, 7, 25, 8, and 9.
The reverse alphabetical positions is then respectively 1, 20, 2, 19, and 8 which corresponds to the letters A, T, B, S, and H respectively.
Thus ZYGZYS translates to ATBASH (substitution). Similarly, after atbash substitution: WRZIB will become DIARY.
The numerical equivalent of atbash substitution is simply replacing the digit n by 9-n.
Let us denote atbash of a digit n by A(n).
Then, we observe that:
o A(676)*A(523) = 323*476= 153748 = A(846251)
o A(387)*A(801) = 612*198= 121176 = A(878823)
o A(896)*A(531) = 103*468 = 048204 = A(951795)
o A(696)*A(641) = 303*358 = 108474 = A(891525)
o A(594)*A(432) = 405*567 = 229635 = A(770364)
o A(304)*A(340) = 695*659 = 458005 = A(541994)
Consequently, in each of the six cases, the product of the atbash of the multiplicand and the atbash of the multiplier equals the atbash of the result.
Edited on July 29, 2022, 11:04 pm
Puzzle Solution
