In each of the three additions below, each letter represents a different digit; however, each letter does not necessarily represent the same digit in one addition as it does in another addition.
G A L E E L S A N E A L
+ N E A L + G A L E + E L S A
------------- ------------- -------------
E L S A N E A L G A L E
Which addition has the smallest sum?
(In reply to
Solution by Dej Mar)
Dej Mar presents three of my seven cases, but misses the lowest sum (5297) although we agree that the first addition leads to the lowest sum. Am I overlooking some condition?
I just generated all three sums for each combination of values, A, L, and S from 0 thru 9; E, G, N from 1 thru 9 (since in all three additions, those letters are the leading digit of one of the lines). I read the problem to mean that the three additions are totally independent of each other, i.e. that assignments are the same for the three lines of each addition, but unrelated to the other two additions.
re: Solution
