Question

There are three numbers which are co-prime to each other. The product of the first two numbers is 551 and that of the last two numbers is 1073.
What is the sum of the three numbers?

• A. (5/12)
• B. (12/5)
• C. (25/144)
• D. (144/25)
• E. None of these

Answer 1

The correct option is A

(5/12)

Since the numbers are co-primes, so there is only 1 as their common factor.
It can also be understood that two products have the middle number in common.

So, middle number = H.C.F. (551, 1073) = 29

First number = $\frac{551}{29}$ = 19
Third number = $\frac{1073}{29}$ = 37

$\therefore$ sum of these numbers = (19 + 29 + 37) = 85