In contrast to the puzzles I just posted, I found the following entertaining.
It's obvious where and how to start, but requires
both reasoning and a little creativity. Also, the answer is verifiable, and
can be proved unique with a short J program that does
an exhaustive search.
Same rules as the other puzzles: if you post a solution, put "spoiler" in the
subject line (remove the word if you're replying to
such a post, and your reply doesn't contain the solution). Do not post
solutions if you already knew them (i.e. had encountered
the puzzle somewhere before).
In the following formulae each letter represents a distinct digit:
ONE FOUR
* 4 +ONE
---- ----
FOUR FIVE
Given that each sum is numerically correct, what are the respective values of
E, R, O, F, N, U, V and I? Give (briefly) your
chain of reasoning or the key insights in that chain.
-Dan
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