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Question: four hikers are carrying packs and all four packs weigh...

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Four hikers are carrying packs, and all four packs weigh different amounts. When the packs are put on a scale two at a time, the pairs of packs weigh the following amounts: 34 kg, 37 kg, 39 kg, 41 kg, 43 kg and 46 kg. What is the greatest possible weight of the heaviest pack?

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