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DEAN + DRACO + WAND = WIZARD

What is this puzzle?

Solve the addition alphametic puzzle where DEAN + DRACO + WAND = WIZARD. 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, C, D, E, I, N, O, R, W, Z). In the equation DEAN + DRACO + WAND = WIZARD, each letter maps to a distinct digit from 0 to 9. The leading letters D and W cannot represent zero — this is your first constraint. This puzzle has 3 addends (DEAN + DRACO + WAND), 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: D, W. 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

DEAN
DRACO
+
WAND
WIZARD
A=
C=
D=
E=
I=
N=
O=
R=
W=
Z=

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