The LCM of two numbers is 12 times their HCF. The sum of LCM and HCF is 403. If one of the numbers is 124, find the other number.

Explanation

Let the HCF of the numbers = $x$ $\therefore$ LCM of numbers = $12x$ $\therefore x + 12x = 403$ $x = 31,$ $\therefore LCM = 31 \times 12 = 372$ HCF = 31 As per the question First number $\times$ second number = $372 \times 31$ $124 \times second number = 372 \times 31$ $\therefore second number = 93$