1989 AJHSME Problems/Problem 20
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Problem
The figure may be folded along the lines shown to form a number cube. Three number faces come together at each corner of the cube. What is the largest sum of three numbers whose faces come together at a corner?
Solution
It is clear that ,
, and
will not come together to get a sum of
.
The faces ,
, and
come together at a common vertex, making the maximal sum
.
See Also
1989 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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All AJHSME/AMC 8 Problems and Solutions |