## 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