A farmer has 39 kg of wheat, 403 kg of oats and 182 kg of barley. He wishes to put the maximum and equal quantity of each into bags of equal size. What should be the capacity of each bag?

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Solution

To find the maximum capacity of the bag to pack all the weight in exact number of bags, we need to find the HCF of these weights.

39=3×13
403=13×31
182=2×7×13

here 13 is the HCF.
so the capacity of the bag is 13 kg.

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A farmer has 39 kg of wheat, 403 kg of oats and 182 kg of barley. He wishes to put the maximum and equal quantity of each into bags of equal size. What should be the capacity of each bag?

To find the maximum capacity of the bag to pack all the weight in exact number of bags, we need to find the HCF of these weights. 39=3×13 403=13×31 182=2×7×13 here 13 is the HCF. so the capacity of the bag is 13 kg.

To find the maximum capacity of the bag to pack all the weight in exact number of bags, we need to find the HCF of these weights.

39=3×13
403=13×31
182=2×7×13

here 13 is the HCF.
so the capacity of the bag is 13 kg.