Question 10
Alex has wooden bars of equal height and the illustrated lengths. He wants to use the bars to make three towers of equal height. In each tower, every bar must be strictly shorter than every bar below it. The example illustrates this condition.
For each tower add its bar lengths. The spread is the greatest difference between any two of these three sums. What is the smallest possible spread?
For each tower add its bar lengths. The spread is the greatest difference between any two of these three sums. What is the smallest possible spread?