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Question
Renupurchases two bags of fertilizer of weight 75 kg and 69 kg. Find themaximum value of weight which can measure the weight of thefertilizer exact number of times.
Renupurchases two bags of fertilizer of weight 75 kg and 69 kg. Find themaximum value of weight which can measure the weight of thefertilizer exact number of times.
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Solution
Weight ofthe two bags = 75 kg and 69 kg
Maximumweight = HCF (75, 69)
3
75
5
25
5
5
1
3
69
23
23
1
75 = 3 ×5 × 5
69 = 3 ×23
HCF = 3
Hence, themaximum value of weight, which can measure the weight of thefertilizer exact number of times, is 3 kg.
Weight ofthe two bags = 75 kg and 69 kg
Maximumweight = HCF (75, 69)
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
| 3 | 69 |
| 23 | 23 |
| 1 |
75 = 3 ×5 × 5
69 = 3 ×23
HCF = 3
Hence, themaximum value of weight, which can measure the weight of thefertilizer exact number of times, is 3 kg.
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