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Question
Two numbers are in the ratio 3 : 4 and their LCM is 120. The sum of the numbers is ______.
Fill in the Blanks
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Solution
Two numbers are in the ratio 3 : 4 and their LCM is 120. The sum of the numbers is 70.
Explanation:
Let the numbers be 3k and 4k (given ratio 3 : 4).
Their LCM = lcm(3k, 4k) = 12k, so 12k = 120 ⇒ k = 10.
Numbers are 30 and 40; sum = 30 + 40 = 70.
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