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

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

Solution:
Let HCF be h and LCM be l
Then l = 12h and
l + h = 403

∴12h + h = 403
⇒ h = 31

So, l = (403 − 31) =372

Hence, the other number = (31 × 372)/93 = 124