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.

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