Question
Ratio of two numbers 10:21 and their LCM is 2520. Find
the sum of the given two numbers.Solution
Let the two numbers be '10h' and '21h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 10h × 21h = h × 2520 Or, 210h = 2520 So, 'h' = (2520 / 210) = 12 Therefore, the required sum = 10h + 21h = 31h = 31 × 12 = 372 Hence, option b
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