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Sherlock Holmes and Dr. Watson recover a suitcase with a three-digit combination lock from a mathematician turned criminal. Embedded in the suitcase above the lock is the cryptic message "AT SEA BASE. SEAS EBB SEA: BASS. "

Dr. Watson comments, "This probably isn't about ocean fish. Perhaps it is an encrypted message. The colon suggests the addition problem , where each letter represents a distinct digit, and the word 'BASE' implies that the problem is in a different base."

Holmes calmly turns the combination lock and opens the suitcase. While Dr. Watson gapes in surprise, Holmes replies, "You were indeed right, and the answer was just the value of the word , interpreted as decimal digits." What was the lock combination?

(there is already another post for this problem, but it's locked and the answer is wrong)

May 29, 2020

#1
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so 651 is not the lock combination?

May 29, 2020
#2
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Guest May 29, 2020
#3
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bump

May 29, 2020
#4
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This was hard enough over a year ago when the entire problem was posted in entirety.  If you want to see the parts that are missing from this post, the 2019 posting is at https://web2.0calc.com/questions/tough-number-theory-riddle   I couldn't solve it then and I can't solve it now.

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May 29, 2020
#5
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Sherlock Holmes and Dr. Watson recover a suitcase with a three-digit combination lock from a mathematician turned criminal. Embedded in the suitcase above the lock is the cryptic message "AT SEA BASE. SEAS EBB SEA: BASS. "

Dr. Watson comments, "This probably isn't about ocean fish. Perhaps it is an encrypted message. The colon suggests the addition problem SEAS + EBB + SEA = BASS, where each letter represents a distinct digit, and the word 'BASE' implies that the problem is in a different base."

Holmes calmly turns the combination lock and opens the suitcase. While Dr. Watson gapes in surprise, Holmes replies, "You were indeed right, and the answer was just the value of the word SEA, interpreted as decimal digits." What was the lock combination?

Here is the problem in it's entirety.

May 29, 2020