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1. 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. The sum of the three numbers is:

A. 75

B. 81

C. 85

D. 89

Solution:

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

\begin{aligned} First number \\ = \frac{551}{29} \\ = 19 \\ Third number \\ = \frac{1073}{29} \\ = 37 \\ ∴ Required sum \\ = 19 + 29 + 37 \\ = 85 \end{aligned}

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