question_answer

Three numbers which are coprimes to one another are such that the product of the first two is 551 and that of last two is 1073. The sum of the three numbers is

A) 75                                

B) 81   

C) 85        

D) 90

Correct Answer: C

Solution :

Let the numbers be p, q and r which are coprime to one another.

Now, pq = 551 and qr = 1073

Q = HCF of 551 and 1073

\[\therefore \]      \[q=29\]

\[\Rightarrow \]\[p=\frac{551}{29}=19\]and \[r=\frac{1073}{29}=37\]

Hence, sum of three numbers = 29 + 19 + 37 = 85