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 Yankee dollar (Posted on 2014-06-06)
If
IT*IRK+KLM=TRUE
and
7844\$ is a common English word
and
in the above coding distinct digits are represented by distinct letters

then

What letters might be represented by the dollar sign (\$)?

Rem1: No acronyms, plurals, proper names, esoteric words.

Rem2: Although there are numerous solutions of the alphametic equation, there exist quite a few candidates for (\$) (i.e. the last letter of the common word), with a certain letter (which?) dominating the set.

 No Solution Yet Submitted by Ady TZIDON No Rating

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 Candidates | Comment 1 of 9

If I assume that each of 7, 8 and 4 must appear in the solution to the alphametic, I get the following possible solutions for 7844\$:

ELRR\$
EURR\$
KEMM\$
KLEE\$
KLRR\$
KULL\$
LMRR\$
MLRR\$
MTLL\$
MURR\$
RTLL\$
RTMM\$
TEKK\$
TELL\$
TEUU\$
TKMM\$
TKRR\$
TKUU\$
TLKK\$
TLMM\$
TLUU\$
TMLL\$
TUKK\$
TUMM\$
URLL\$

Of those, it looks like only two could make common English words, TELL\$ and TUMM\$. So the \$ could be an S or a Y?

If I drop the assumption that all of 4, 7, and 8 must appear in the alphametic solution, then there are more possibilities, but that just makes the problem way too ambiguous. For example, we could have:

27 * 256 + 691 = 7603

but then all we'd know about 7844\$ is that it was T _ _ _ _.

 Posted by tomarken on 2014-06-06 14:46:56

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