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.

(In reply to re: computer aided solution.... to be expanded by Ady TZIDON)

Just my opinion, but if you remove the restriction on 4,7,8 it becomes less of a puzzle and turns it into an exercise to download a huge list of five letter words and do a brute force count. 

As it is, I think with the restriction in place it works as a puzzle.  Both Charlie and I found the solution "tummy," and "tells" is also a possibility. 

I think you implied that you have other solutions even with the requirement that 4,7, and 8 are all included in the alphametic.  Could you post one of the others so we can see if we're thinking about it in the same way?  Because I don't see how any others are possible. 

Posted by tomarken on 2014-06-06 17:43:50