Letter Sum #3
Rating: hard
Instructions:
Each letter in the given sum represents a different digit (0-9). Figure out which letter represents which digit so that the given addition is correct. No number is written with 0 as its first digit.
A B C C C B
+ F G E H D E
G G G H E F F
A B C C C B
+ F G E H D E
G G G H E F F
4 9 5 5 5 9
+ 6 1 7 2 0 7
1 1 1 2 7 6 6
Notes on solution, by puzzle editor:
Experienced solvers will immediately see that G=1 (leftmost digit in sum), B=9 (fifth column from right where carry is needed from fourth column so that B+1+1(from carry)=11) and A+F=10. Now think about the two columns that contain just C, E and H. Either C=5 and there is not a carry into either column, or C=4 and there is a carry into both columns. If you try C=5 and consider your choices for E and F, you'll quickly reach the answer.