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Three numbers which are co – prime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is

Three numbers which are co – prime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is Correct Answer 85

As they are co-prime to each other, they have 1 as common factor. Let three numbers be A, B and C respectively

Given,

⇒ A × B = 551

⇒ B × C = 1073

⇒ B = HCF of 551 and 1073

⇒ B = 29

⇒ A = 551/29 = 19

⇒ C = 1073/29 = 37

⇒ Sum of three numbers = 19 + 29 + 37 = 85

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