LCM of two numbers is 56 times of their HCF, with the sum of their HCF and LCM is 170.  If one of the two numbers is 240.  Find the sum of two numbers.

450

              LCM = 56 HCF                          

56 HCF + HCF = 170

               HCF = 30

               240 = a × 30

                   a = 8

                  ab = 56

                    b = 7

The other number = 30 × 7 = 210

Sum of the number = 240 + 210 = 450