## weight division

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A stone of 682 kg broke into five pieces. Fortunately, with those five pieces ,any integer value from 1 to 682 kg can be weighed.What are the five values of the broken pieces?

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Puzzle Mounika Athinarapu 4 years 3 Answers 979 views 0

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Weight of 5 stones are 1kg,3 kg, 9 kg, 27 kg and 81 kg.

To measure
1 kg, keep 1kg piece in one and the product to be weighed in the other pan.
2 kg, keep 3 kg piece in one pan and the product with 1 kg piece in the other pan.
4 kg, keep 3kg and 1 kg together.
5 kg, keep 9kg in one pan and the product with 1kg and 3kg piece together in the other pan.

Like this you can weight upto 121 kg directly. Then repeat the process again to measure upto 682 kg

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I cannot understand. Can you explain it clearly

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But here the sum of 5 values is not equal 682. Here we should note that when a stone breaks ,sum of the weights of broken peices is equal to weight of the stone.