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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. The sum of the three numbers is:

Options:
A .  75
B .  81
C .  85
D .  89
Answer: Option C

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 = \(\left(\frac{551}{29}\right) = 19\)


Third number = \(\left(\frac{1073}{29}\right) = 37.\)


Therefoer Required sum = (19 + 29 + 37) = 85.


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