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THE + DEATH + VALLEY = DRIVER

What is this puzzle?

Solve the addition alphametic puzzle where THE + DEATH + VALLEY = DRIVER. Each letter represents a unique digit from 0-9. No number starts with zero.

Difficulty: hard · Category: addition · Unique letters: 10

This hard-level addition alphametic puzzle features 10 unique letters (A, D, E, H, I, L, R, T, V, Y). In the equation THE + DEATH + VALLEY = DRIVER, each letter maps to a distinct digit from 0 to 9. The leading letters T and D and V cannot represent zero — this is your first constraint. This puzzle has 3 addends (THE + DEATH + VALLEY), making carry analysis more complex. Start from the rightmost column and work left, tracking carries between columns. This is a challenging puzzle that requires systematic use of carry analysis, parity checking, and elimination. Start by listing all constraints, then methodically eliminate impossible digit assignments.

  • This addition alphametic has 10 unique letters to determine.
  • Leading letters: T, D, V. None of these can be zero.
  • All 10 digits (0–9) are used, one per letter.
  • Start from the rightmost column (units place) and work left, tracking carries between columns.
  • With three addends, each column can produce a carry of at most 2.
  • With many unique letters, use elimination and constraint tracking to narrow down possibilities step by step.

Play this puzzle

THE
DEATH
+
VALLEY
DRIVER
A=
D=
E=
H=
I=
L=
R=
T=
V=
Y=

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