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ZGYZHS (Posted on 2005-11-11) Difficulty: 3 of 5
What's the explanation for these mathematical equations?:

676 * 523 = 846251
387 * 801 = 878823
896 * 531 = 951795
696 * 641 = 891525
594 * 432 = 770364
304 * 340 = 541994

  Submitted by Larry    
Rating: 3.5000 (2 votes)
Solution: (Hide)
The title is the atbash of the word "ATBASH". If you take the atbash of each number, multiply them, then take the atbash of the product, you get the "incorrect" product as shown.

The atbash substitution (which is based on an ancient Hebrew cipher) is to replace A by Z and vice versa, replace B by Y and vice versa, etc.
For this numerical atbash problem, 0 is replaced by 9 (and vice versa), 1 is replaced by 8, etc.

For each digit "n", the atbash is just 9-n
And for 2 three-digit numbers A and B, the atbash of the product as defined above is:
999999-[(999-A)*(999-B)] assuming the product has 6 digits

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPuzzle SolutionK Sengupta2022-07-29 22:51:29
3 out of 3Larry2005-11-12 09:26:00
SolutionGet it too!!!(no spoiler)pcbouhid2005-11-11 14:27:17
Hints/TipsSolved (hint)Mindy Rodriguez2005-11-11 12:36:46
Hints/TipsAnother equation (no spoiler)Old Original Oskar!2005-11-11 11:56:09
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