Co-primes

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Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. If sum of the three numbers is S, then the value of S is


The answer is 85.

Balai Saha by Balai Saha , 30, India

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2 solutions

Chan Ming Xian
Jan 13, 2014

To solve this question, we first find out the prime factorization of 551 and 1073 551 = 19 × 29 551=19 \times 29 1073 = 29 × 37 1073=29 \times 37 Knowing that the three numbers are 19, 29 and 37 respectively. We calculate the value of S which is 19 + 29 + 37 = 85 19 + 29 +37 =\boxed{85}

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Balai Saha
Jan 12, 2014

Since the numbers are co-prime, they contain only 1 as the common factor. Also, the given two products have the middle number in common. So, middle number = H.C.F. of 551 and 1073 = 29. First number = 551/29 = 19 Third number = 1073/29 = 37 Required sum = (19 + 29 + 37) = 85

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