The sum of and difference between the LCM and HCF of two numbers are 512 and 496, respectively. If one numbers is 72, then the other number is:

Answer: Option A

LCM + HCF = 512
LCM - HCF = 496
$$\overline{2\text{LCM}=1008}$$
LCM = 504
HCF = 8
I = 72
II = ?
I × II = LCM × HCF
72 × II = 504 × 8
II = 56