Question

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
• E. 93

Answer 1

The correct option is C

85

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

$\therefore$Required sum = (19 + 29 + 37) = 85.