How to find the heavier one by weighing 2 times only?

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Presentation transcript:

How to find the heavier one by weighing 2 times only? Which Ball is Heavier? balance scale 9 balls look identically the same but 1 is heavier than the rest How to find the heavier one by weighing 2 times only?

Weigh once if there are only 3 balls? Hint balance scale Weigh once if there are only 3 balls?

3 Balls balance scale 3 Cases: A heavier than B B heavier than A same weight C is heavier

9 Balls balance scale 3 a group A B C 3 Cases: Group A heavier than group B Repeat previous step with group A Group B heavier than group A Repeat with group B same weight Repeat with group C 3 a group

Generalisation balance scale 27 balls More balls? 27 balls? 81 balls? In general?