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1996 AMC 8 Question 14

AMC8 · 1996 AMC 8

Question 14

Six different digits from the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ are placed in the squares in the figure shown so that the sum of the entries in the vertical column is $23$ and the sum of the entries in the horizontal row is $12.$ The sum of the six digits used is

Question illustration
  1. $27$
  2. $29$
  3. $31$
  4. $33$
  5. $35$