Question
Ratio of two numbers 8:15 and their LCM is 2400. Find the sum of the given two numbers.
Solution
Let the two numbers be '8h' and '15h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 8h × 15h = h × 2400 Or, 120h = 2400 So, 'h' = (2400 / 120) = 20 Therefore, the required sum = 8h + 15h = 23h = 23 × 20 = 460 Hence, option c
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