Letter Substitutions – 5
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 B, E, S, T, O, G, and U in these puzzles.
EXPLORATION
Make some letter substitution puzzles for your friends to solve.
Notes
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THE CHALLENGE
BE + BE = SEE: For E + E to end in E, it must be that E = 0. The largest the carry can be from the tens place to the hundreds place is 1, so S = 1. Finally, B + B = 10 forces B = 5.
So, the answer is 50 + 50 = 100.
TO + GO = OUT: The largest the carry can be into the hundreds place is 1, so O = 1. O + O ends in T forces T = 2.
We now have 21 + G1 = 1U2. This means 2 + G = 1U. For 2 + G to be at least 10, G must be 8 or 9. If G = 9, then 2 + G = 11 and that would mean U = 1 and O = 1, which is not allowed. So, G = 8 and U = 0.
So, the answer is 21 + 81 = 102.