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Coloured weights

You have six weights. Two of them are red, two are blue, two are green. One weight of each colour is heavier than the other; the three heavy weights all weigh the same, and the three lighter weights also weigh the same.
Using a scale twice, can you split the weights into two sets by weight?

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If you enjoyed this puzzle, check out Sunday Afternoon Maths LXVII,
puzzles about scales, or a random puzzle.

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