Two positive integers are in the ratio of 3 : 4.  Their LCM and HCF are in the ratio of 12 : 1.  If the difference between their LCM and their HCF is 44, then what is the sum of these numbers?

38 28 56 120

28

LCM - HCF = 44 12R - 1R = 44 11R = 44 R = 4 HCF = 1R = 4 ∴ Sum of numbers = (3 + 4) × 4 = 7 × 4 = 28