Brain-Teaser 922: Additional letters
From The Sunday Times, 23rd March 1980 [link]
It is true, of course, that there are a lot of letters in this puzzle, but in spite of that I thought that for once Uncle Bungle was going to write it out correctly.
In fact there was no mistake until the third and last line across but, in that line one of the letters, I’m afraid, was incorrect.
This is another addition sum with letters substituted for digits. Each letter consistently stands for the same digit whenever it appears, and different letters stand for different digits — or at least the should do — and they do, but for the mistake in the last line across:
What is the correct numerical 10-figure answer to the addition sum?
This puzzle is included in the book The Sunday Times Book of Brainteasers (1994). The puzzle text above is taken from the book.
[teaser922]
S2T2 
Jim Randell 2:09 pm on 24 August 2023 Permalink |
We can use [[
bungled_sum()]] solver (as seen in Puzzle 56 etc.) for this puzzle.The following Python command line executes in 146ms.
Run: [ @replit ]
>>> from bungled_sum import bungled_sum >>> bungled_sum(['YTBBEDMKD', 'YHDBTYYDD', 'EDYTERTPTY'], [2]) T YTBBEDMKD + YHDBTYYDD = EDYTERTPHY / @[2,8] T -> H 695513243 + 673596633 = 1369109876 / B=5 D=3 E=1 H=7 K=4 M=2 P=8 R=0 T=9 Y=6Solution: The answer to the addition sum is 1369109876.
The complete sum is:
which would have been correctly posed as:
i.e. the penultimate (tens) digit of the result should have been H (not T).
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