Henry Ernest Dudeney/Puzzles and Curious Problems/93 - Figures for Letters/Solution

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Puzzles and Curious Problems by Henry Ernest Dudeney: $93$

Figures for Letters

Solve this cryptarithm:

           A B C D
 x       E F G H I
 -----------------
 A C G E F H I B D

Each of the letters $A$ to $I$ represents one of the digits from $1$ to $9$ inclusive.


Solution

           6 5 4 3
 x       9 8 2 7 1
 -----------------
 6 4 2 9 8 7 1 5 3

Proof



Sources