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Q.

Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

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Detailed Solution

Given that two bags of fertiliser weigh 75 kg and 69 kg, respectively

Maximum weight = HCF of the weight of two bags, (75, 69)

Using prime factorization, 
75 = 3 × 5 × 5
69 = 3 × 23

Therefore, HCF = 3

Therefore, 3 kg is the maximum weight that can calculate the weight of the fertiliser an exact number of times. 

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