Two numbers are in the ration 17 : 13. If their HCF is 15, what are the numbers?

[jaysinhp]

Two numbers are in the ration 17 : 13. If their HCF is 15, what are the numbers?

Please help with the best in deepest explanation. A beginner is here. :sad:

 

[Bob Brown MSEE]

Two numbers are in the ration 17 : 13. If their HCF is 15, what are the numbers?

x and y is what we seek
17 : 13 means x/y = 17/13 in lowest terms

Hint1: 17 and 13 are prime.
Hint2: If we multiply x and y by the same number then x/y is still 17/13.