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Question

a forester wants to plant 66 apple trees, 88 banana trees and 110 mango trees in equal rows(in terms of number of trees). also he wants to make distinct rows of trees (i.e. only the type of tree in the row) find the number of minimum rows required

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Solution

66 = 2 × 3 × 11

88 = 2 × 2 × 2 × 11

110 = 2 × 5 × 11

So, HCF of 66, 88 and 110 is 2 × 11 = 22

Thus, Number of rows of apple trees = 66/22 = 3

Number of rows of banana trees = 88/22 = 4

Number of rows of mango trees = 110/22 = 5

Hence, required number of rows = 3 + 4 + 5 = 12


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