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 9-letter word III (Posted on 2015-12-11)
Search in the English dictionary the words that complete the alphametic sequences + sequences = ?
in such a way the solution is unique.

There are several possible solutions,- provide the one with a minimal value of s+e+q+u+n+c.

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 Elimination of two possible given answers | Comment 4 of 8 |
I initially erred by finding C+C+1=I and S+S+1=I, when in actuality the equality is C+C+1=I+k*10, such that k is the carry of 1 or 0. And as S+S+1 has no carry,  C+C+1=I+10 --- rewritten, 2*C = I+9, thus I, which is odd, is alphametically found to be 5.

SEQUENCES + SEQUENCES = INDUCTING
280987682 + 280987682 = 561973564     mv = 32

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The same error in my logic occurred in
SEQUENCES + SEQUENCES = REHEARSER     mv = 23
403509204 + 403509204 = 807018408
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I had failed to include proper nouns/adjectives in my search for possible solutions. Cartesian is an example of one such English word, as indicated by the published solution.

SEQUENCES + SEQUENCES = CARTESIAN     mv = 27
392096793 + 392096793 = 784193586

Edited on December 25, 2015, 12:25 pm
 Posted by Dej Mar on 2015-12-25 06:45:23

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