The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93, find the other.

Explanation

Let HCF = h. LCM = 12h. h + 12h = 403 => 13h = 403 => h = 31. LCM = 12 * 31 = 372. Product of numbers = HCF * LCM => 93 * x = 31 * 372 => x = (31 * 372) / 93 = 372 / 3 = 124.