Question
Ratio of two numbers 5:9 and their LCM is 1260. Find
the sum of the given two numbers.Solution
Let the two numbers be '5h' and '9h', 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 × 9h = h × 1260 Or, 45h = 1260 So, 'h' = (1260 / 45) = 28 Therefore, the required sum = 5h + 9h = 14h = 14 × 28 = 392 Hence, option b
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