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
Answer: Option C
Solution(By Examveda Team)
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
$$\eqalign{ & {\text{First}}\,{\text{number}} \cr & = {\frac{{551}}{{29}}} \cr & = 19 \cr & {\text{Third}}\,{\text{number}} \cr & = {\frac{{1073}}{{29}}} \cr & = 37 \cr & \therefore {\text{Required}}\,{\text{sum}} \cr & = {19 + 29 + 37} \cr & = 85 \cr} $$
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