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Question

$$105$$ goats, $$140$$ donkeys and $$175$$ cows have to be taken across a river. There is only one boat which will have 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 went in each trip?


Solution

105 = $$3 \times 5 \times 7$$
140= $$4\times 5\times 7$$
175= $$5\times 5\times 7$$
by taking H.C.F = $$7\times 5 = 35$$
35 animals in single trip


Maths

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