Question
Ratio of two numbers 9:16 and their LCM is 2880. Find
the sum of the given two numbers.Solution
Let the two numbers be '9h' and '16h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 9h × 16h = h × 2880 Or, 144h = 2880 So, 'h' = (2880 / 144) = 20 Therefore, the required sum = 9h + 16h = 25h = 25 × 20 = 500 Hence, option c
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