perplexus.info :: Numbers : Perplexus Cryptarithm Puzzle

Perplexus Cryptarithm Puzzle (Posted on 2007-03-31)

The cryptarithm FLOOBLE + PUZZLE = PERPLEX has no solutions. But if the word 'PUZZLE' is included twice, then there is a solution.
How many more times can the word 'PUZZLE' appear in the addition and the cryptarithm still have a solution?

Submitted by Brian Smith

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Solution: (Hide)

The word 'PUZZLE' can appear 2, 3, 4 or 7 times and the cryptarithm will be solvable.
FLOOBLE + 2 * PUZZLE = PERPLEX 6255028 + 2 * 791128 = 7837284 FLOOBLE + 3 * PUZZLE = PERPLEX 4399732 + 3 * 605532 = 6216328 FLOOBLE + 4 * PUZZLE = PERPLEX 4177319 + 4 * 682219 = 6906195 FLOOBLE + 7 * PUZZLE = PERPLEX 1499246 + 7 * 307746 = 3653468

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): answer	K Sengupta	2007-04-02 11:06:36
re: answer	Charlie	2007-04-01 20:59:21
answer	K Sengupta	2007-04-01 05:49:53
computer solution	Charlie	2007-03-31 16:25:48

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