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(2): computer aided solution.... to be expanded by tomarken)

I am far away from home and  not sure whether there are more solutions that make the three digits (7,8,4)    into  letters strictly  from set (irk tlm ue) .

At least TUMMY, TELLS & TELLY  (not mentioned by you) qualify.

 

1. Telly(noun) - an electronic device that receives television signals and displays them on a screen; "the British call a tv set a tel.

But nothing in the d4 puzzle precludes words like TWEED, *ORRY (*=W or S), provided no more than 3 new letters   are added (8 digits in the alphametic and "$" in the coded word leave you only 3 "free" choices).

2.      tweed(noun )- : a rough, woolen cloth that is woven with different colored threads.

I think that very slight modification of your program (like possible choices of the double letter or the positions of vowels) will allow you to fully solve the puzzle.

Edited on June 8, 2014, 10:36 am

Posted by Ady TZIDON on 2014-06-07 05:06:36