perplexus.info :: Numbers : Tough Puzzle (part 3)

Tough Puzzle (part 3) (Posted on 2007-08-23)

As you know from Tough Puzzle Part 1 and Tough Puzzle Part 2 TOUGH+TOUGH=PUZZLE,
TOUGH+TOUGH+TOUGH=PUZZLE
and TOUGH+TOUGH+TOUGH+TOUGH=PUZZLE have valid solutions.

Besides these three, there are several other valid ones. How many of them can you find? What is the greatest number of times that TOUGH can be added to make PUZZLE?

This problem was suggested by Brian Smith and endorsed by Jer, whom I wish to thank.

See The Solution Submitted by Josie Faulkner

Rating: 4.3333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Thoughts

Comment 4 of 4 |

70 is the highest.

--> 70 * 13254 = 927780

52 is the highest that has multiple solutions.

---> 52 * 16537 = 859924

--> 52 * 16795 = 873340

Edited on March 27, 2023, 9:36 am

Posted by K Sengupta on 2023-03-27 09:33:48

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