Three numbers are co-prime to each other and are in a way that when the first…
2024
Three numbers are co-prime to each other and are in a way that when the first two are multiplied, gives 119 and when the rest of the two gives 391. What is the sum of these numbers?
- A.
27
- B.
47
- C.
42
- D.
24
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Correct answer: B
As these numbers are co-primes, hence there is only 1 as their common factor. The question also states that the middle number is common for the two products.
Hence,
Middle Number = HCF of 119 and 391 = 17
The first Number is = 119 / 17 = 7
The last Number is= 391 / 17 = 23
Sum if the three numbers is= 7 + 17 + 23 = 47