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AND + SAID + UNTO = SIMON

What is this puzzle?

Solve the addition alphametic puzzle where AND + SAID + UNTO = SIMON. Each letter represents a unique digit from 0-9. No number starts with zero.

Difficulty: hard · Category: addition · Unique letters: 9

This hard-level addition alphametic puzzle features 9 unique letters (A, D, I, M, N, O, S, T, U). In the equation AND + SAID + UNTO = SIMON, each letter maps to a distinct digit from 0 to 9. With only 9 of 10 digits used, 1 digit remains unused in the solution. The leading letters A and S and U cannot represent zero — this is your first constraint. This puzzle has 3 addends (AND + SAID + UNTO), 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 9 unique letters to determine.
  • Leading letters: A, S, U. None of these can be zero.
  • There are 9 unique letters, so 1 digits from 0–9 will not be used.
  • 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

AND
SAID
+
UNTO
SIMON
A=
D=
I=
M=
N=
O=
S=
T=
U=

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