Using not more than 16 tiles from a standard Srabble game create an alphametic equation w1+w2=w3 , where w1,w2,w3 are English words and the sum of scrabble values of the participating tiles is maximal.

Rem1: The alphametic must have only one solution.
Rem2: The words used must be listed at this online scrabble dictionary.
Rem3: The letters' values are here.
Rem4: Try to do better than HEIGHT+QUIZ=TRUDGE (my example).

To simplify, I offer a solution replicating the format of the alphametic given in Rem4 -- HEIGHT + QUIZ = TRUDGE [scrabble value (43)] with three words that have a higher scrabble value:
ESCHEW + ZACK = WRATHS [scrabble value (45)].

The solution is unique, as it uses the same format as the example:

0 1 2 3 4 5 6 7 8 9
R D H T U I Z G Q E -- example
R T E W A C K H Z S -- closer to maximum

Edited on March 28, 2016, 3:39 pm

Posted by Dej Mar on 2016-03-28 13:25:25