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The LCM of two numbers is 66. The numbers are in the ratio 2 : 3. The sum of the numbers is

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Let the numbers be 2x and 3x

LCM of 2x and 3x = 6x

Given that LCM = 66

⇒ 6x = 66

⇒ x = 66/6 = 11

∴ The numbers are 22 and 33

∴ Sum of the numbers = 22 + 33 = 55