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    Question

    The LCM of two numbers is 15 times their HCF.  The sum

    of HCF and LCM of these numbers is 352.If one of the numbers is 110, find the other number.
    A 64 Correct Answer Incorrect Answer
    B 66 Correct Answer Incorrect Answer
    C 68 Correct Answer Incorrect Answer
    D 70 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let HCF be x  , then LCM = 15x It is given LCM +HCF = 352  x + 15x  = 352    ⇒ 16x  = 352    x = `352/16` = 22 HCF = 22 and LCM = 15x  = 15`xx` 22 = 330 Product of two numbers = Product of their HCF and LCM 110 `xx` other number = 22 `xx` 330  Other number = `(22xx330)/110` =  66

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