Letter Substitutions – 6
Rules
- A letter represents a digit from 0 to 9, and has the same value throughout a single puzzle.
- No number can start with the digit 0.
- Within a puzzle, different letters must have different values.
THE CHALLENGE
Find the value of A, B, C, D, E, F, G, K, L, and M in these puzzles.
EXPLORATION
Make some letter substitution puzzles for your friends to solve.
Notes
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THE CHALLENGE
BA + BB = CAB: The carry can be at most 1, so C = 1. A + B = B forces A = 0. B + B = 10 finishes it off with B = 5.
The solution is: 50 + 55 = 105.
ED + FD = FGG: The carry must be 1, so F = 1. With F = 1, E + 1 + (possible carry) = 1G forces G = 0, and E = 8 or 9. D + D = 0 or 10 leaves us with D = 5, a carry into the next column, and then E = 8.
The solution is: 85 + 15 = 100.
KK + LK = LLM: Once again, the carry must be 1, so L = 1. K + 1 + (possible carry) = 11 forces K = 9 and the possible carry is a definite carry. Then K + K = 1M becomes 9 + 9 = 1M, so M = 8.
The solution is: 99 + 19 = 118.