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
81
85
89
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].
[B].
[C].
[D].
Answer: Option C
Explanation:
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 = | 551 | = 19; Third number = | 1073 | = 37. | ||||
29 | 29 |
Required sum = (19 + 29 + 37) = 85.