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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