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?
Answer & explanation
Correct answer: option 2
LCM - HCF = 44
12R - 1R = 44
11R = 44
R = 4
HCF = 1R = 4
∴ Sum of numbers = (3 + 4) × 4 = 7 × 4 = 28