1996 AJHSME Problem 14
Source:
July 10, 2011
AMC
Problem Statement
Six different digits from the set
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[asy]
unitsize(18);
draw((0,0)--(1,0)--(1,1)--(4,1)--(4,2)--(1,2)--(1,3)--(0,3)--cycle);
draw((0,1)--(1,1)--(1,2)--(0,2));
draw((2,1)--(2,2));
draw((3,1)--(3,2));
label("",(0.5,0),S);
label("",(4,1.5),E);
[/asy]