PASTA+PIZZA=SALSA
If all the 7 digits appearing in the above alphametic sum up to a number below 30,
what is the lowest possible value of
ZEST?
(In reply to
Puzzle Answer by K Sengupta)
There are precisely three letter-digit assignments which are analyzed hereunder as follows:
ASSIGNMENT 1
(Z, S, T, A, P, L, I) = (8, 5, 7, 0, 0, 4, 9)
so, E may be assigned any one of the values 1, 3, or 6.
For the sum of digits of ZEST to be lowest E must equal 1, giving:
ZEST = 8157, and its sum of digits = 21
ASSIGNMENT 2
(Z, S, T, A, P, L, I) = (7, 5, 8, 0, 2, 3, 9), so the minimum value that can be assigned to E is 1
So, ZEST = 7158, and its sum of the digits = 21
ASSIGNMENT 3
(Z, S, T, A, P, L, I) = (8, 3, 5, 0, 1, 2, 9)
Then, the minimum value that E could assume is 4
Accordingly, ZEST = 8435, and the sum of the digits = 20
Analysing ASSIGNMENTS - (1) to (3) , we observe that the minimum value of ZEST Is obtained corresponding to ASSIGNMENT (3) when ZEST = 8435
Consequently, the required value of ZEST in conformity with the given conditions is 8435.
Edited on June 13, 2022, 12:01 am
Explanation to Puzzle Answer
