Question

Three bags contain wheat flour of weights 60 Kg, 72Kg and 90Kg. Find the maximum value of  weight which can measure the weight of wheat flour exact number of times.

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Answer 1

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Answer 2

Given :- Three bags contain wheat flour of weights 60 Kg, 72Kg and 90Kg.

To Find :- The maximum value of weight which can measure the weight of wheat flour exact number of times.

Solution :-

The maximum value of weight which can measure the weight of wheat flour exact number of times will be the HCF of 60kg, 72kg and 90kg .

So, prime factors of 60, 72 and 90 are :-

→ 60 = 2 * 2 * 3 * 5

→ 72 = 2 * 2 * 2 * 3 * 3

→ 90 = 2 * 3 * 3 * 5

then,

→ HCF = 2 * 3 = 6

therefore, we can conclude that, 6 kg weight can measure the weight of wheat flour exact number of times.

Hence, required maximum value of weight is equal to 6 kg .

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