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UKMT Junior Mathematical Olympiad, 2016

Geometry Difficulty 2.0 Junior Prove it United Kingdom

The points $A$ , $B$ , $C$ , $D$ and $E$ lie in that order along a straight line so that $AB : BC = 1:2$ , $BC : CD = 1:3$ and $CD : DE = 1:4$ . What is $AB : BE$ ?

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