Rd sharma solutions
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Playing with numbers | Playing with numbers Exercise 2.8

Question 7

7.105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which willhave to make many trips in order to do so. The lazy boatman has his own conditions for transporting them.He insists that he will take the same number of animals in every trip and they have to be of the same kind.He will naturally like to take the largest possible number each time. Can you tell how many animals wentin each trip?

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In order to find the largest possible number of animals = HCF of 105, 140 and 175

So prime factorization is

105 = 3 × 5 × 7

140 = 2 × 2 × 5 × 7

175 = 5 × 5 × 7

We get HCF of 105, 140 and 175 = 5 × 7 = 35

Therefore, 35 animals went in each trip.

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Our top 5% students will be awarded a special scholarship to Lido.

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Question 7

7.105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which willhave to make many trips in order to do so. The lazy boatman has his own conditions for transporting them.He insists that he will take the same number of animals in every trip and they have to be of the same kind.He will naturally like to take the largest possible number each time. Can you tell how many animals wentin each trip?

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

In order to find the largest possible number of animals = HCF of 105, 140 and 175

So prime factorization is

105 = 3 × 5 × 7

140 = 2 × 2 × 5 × 7

175 = 5 × 5 × 7

We get HCF of 105, 140 and 175 = 5 × 7 = 35

Therefore, 35 animals went in each trip.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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