1
Question
Renu purchases two bags of fertilizer of weight 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertilizer exact number of times.
Renu purchases two bags of fertilizer of weight 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertilizer exact number of times.
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Solution
Weight of the two bags = 75 kg and 69 kg
Maximum weight = 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, the maximum value of weight, which can measure the weight of the fertilizer exact number of times, is 3 kg.
Weight of the two bags = 75 kg and 69 kg
Maximum weight = 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, the maximum value of weight, which can measure the weight of the fertilizer exact number of times, is 3 kg.
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