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Three numbers which are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers?

Three numbers which are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers? Correct Answer 47

Since the numbers are co-prime, their HCF = 1Product of first two numbers = 119Product of last two numbers = 391The middle number is common in both of these products.Hence if we take HCF of 119 and 391, we get the common middle number.HCF of 119 and 391 = 17So, Middle Number = 17First Number = $$\frac{{119}}{{17}}$$ = 7Last Number = $$\frac{{391}}{{17}}$$ = 23Sum of the three numbers
= 7 + 17 + 23
= 47

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