If two numbers have an HCF of 11 and an LCM of 693, and one of them is 77, find the other number.

Question: If two numbers have an HCF of 11 and an LCM of 693, and one of them is 77, find the other number.Solution:The relationship between two numbers can be represented by the equation: their product equals the product of their HCF and LCM.Let the unknown number be denoted by PApplying the given values, we set up the equation, 77 x P = 11 x 693⇒ 77P = 11 × 693 By isolating P,We calculate that,P = 99