Enigma 1282: Amen
31 October 2014
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From New Scientist #2440, 27th March 2004
Janet was trying to invent one of those puzzles where every letter stands for a different digit (0 to 9).
She looked at the sum of the two-figure numbers SO + BE = IT and found that there were several possible answers, such as 21 + 37 = 58. John studied the puzzle and also found several answers, such as 5 × 0 + 3 × 6 = 2 × 9. But he had misunderstood and had treated the expression as being algebraic. When they compared answers they discovered there were a few sets of the 6 letter-values which they agreed about.
Which digits do not appear in any of their common answers?
Note: I am still waiting for a phone line to be connected at my new house, so I only have sporadic access to the internet at the moment. The current estimate is that I should have a connection in early November.