S = 6
E = 8
V = 7
N = 2
I = 5
X = 0
T = 1
W = 3
Y = 4
Which results in:
650 + 68782 + 68782 = 138214
Explanation:
I started with the idea that T = 1 since it was unlikely that the result of S + S + carry would be greater than 19.
...SEVEN
...SEVEN
..........SIX
-------------
1WEN1Y
I then noticed that E + E + carry = E. This lead me to initially believe E = 9, as 9+9+1(carry) = 19. After hitting a dead end though, I changed that to E = 8, which meant that V + V + S > 20. With E = 8, I could determine I = 5, as E(8) + E(8)+ I = T(1).
...S8V8N
...S8V8N
+......S5X
-------------
1W8N1Y
From here, I took a guess as S = 6, which gave me W = 3.
..68V8N
..68V8N
+.....65X
-------------
138N1Y
The only digits that would give me a carry of 2 with V + V + 6 are 9 and 7. Again I tried 9, but hit another dead end. With V = 7, N = 2.
..68782
..68782
+....65X
------------
13821Y
Finally, I tried plugging the remaining digits (0, 4, 9) into X and Y and come up with X = 0 and Y = 4.
..68782
..68782
+....650
------------
138210138214
