Question
The LCM of two numbers is 392 times their HCF. If the
sum of the LCM and HCF is 1965 and one of the numbers is 245, find the other number.Solution
Given: LCM = 392 × HCF LCM + HCF = 1965 One number = 245 Let other number = x Let HCF = h So, LCM = 392h From LCM + HCF = 1965:
LCM = 392×5 = 1960 Use: LCM × HCF = Product of numbers
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