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Efficient Measures

Problem

Using a 2 metre length and two 3 metre lengths, 8 metres can be measured.


It is possible to measure other lengths, for example, to measure 1 metre.


Which of the lengths from 1 to 8 metres can be measured directly using only one 2 m length and two 3 m lengths?


Solution

Consider the following diagrams.


The only length not possible is 7 metres.

Problem ID: 110 (Apr 2003)     Difficulty: 1 Star

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