While vacationing in Italy, I've searched for words that complete the alphametic
focene + tivoli = ?
in such a way the solution is unique.
I've found:
sconto (Italian),
action
(English)
and native
(both Italian and English).
Which of those three words produces the highest sum of digits?
(i) focene+tivoli=sconto
solves as:
380646+527812=908458
with (c,e,f,i,l,n,o,s,t,v) = (0,6,3,2,1,4,8,9,5,7)
Then, s+c+o+n+t+o = 9+0+8+4+5+8 = 34
(ii) focene+tivoli= action
solves as:
164202+783658=947860
with (a,c,e,f,i,l,n,o,t,v) = (9,4,2,1,8,5,0,6,7,3)
Then, a+c+t+i+o+n= 9+4+7+8+6+0= 34
(iii) focene+tivoli= native
solves as
826797+104250=931047
with (a,c,e,f,i,l,n,o,t,v) = (3,6,7,8,0,5,9,2,1,4)
Then, n+a+t+i+v+e = 9+3+1+0+4+7 = 24
Consequently, each of 'sconto' and 'action' produces 34, being the highest sum of digits.
Edited on June 10, 2022, 10:45 pm
Puzzle Solution
