If the HCF of two numbers ( each greater than 17) be 17 and the LCM b…

Let the first number = 17x 

Let the second number = 17y

Then, ATQ, 

LCM × HCF = Product of the two numbers 

561 × 17 = 17x × 17y

xy = 33 = 11 × 3

Sum  of the numbers = 17 × 11  + 17 × 3 = 238