Question
Two numbers are in the ratio 5:12, and their least common
multiple (LCM) is 1,440. Determine the sum of these two numbers.Solution
Let the two numbers be '5h' and '12h', where 'h' is the HCF of the two given numbers.
Product of two numbers = (Product of LCM and HCF) of the given two numbers
5h X 12h = h X 1440
Or, 60h = 1440
So, 'h' = (1440/60) = 24
Therefore, the required sum = 5h + 12h = 17h = 17 X 24 = 408
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