Question
Two numbers are in the ratio 5 : 7 and their LCM is 420.
Find the numbers.Solution
Let the numbers be 5k and 7k Since 5 and 7 are co-prime, LCM = 5 × 7 × k = 35k Given 35k = 420 ⇒ k = 420 / 35 = 12 Numbers are: 5k = 5 × 12 = 60 7k = 7 × 12 = 84 Answer: 60 and 84
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