Question
Ratio of two numbers 7:11 and their LCM is 1540. Find
the sum of the given two numbers.Solution
Let the two numbers be '7h' and '11h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 7h × 11h = h × 1540 Or, 77h = 1540 So, 'h' = (1540 / 77) = 20 Therefore, the required sum = 7h + 11h = 18h = 18 × 20 = 360 Hence, option b
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