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    Question

    Two numbers are in the ratio 4:7. The product of their

    H.C.F. and L.C.M. is 5488. The sum of the numbers is:
    A 110 Correct Answer Incorrect Answer
    B 182 Correct Answer Incorrect Answer
    C 171 Correct Answer Incorrect Answer
    D 154 Correct Answer Incorrect Answer

    Solution

    Let the numbers be 4x and 7x respectively. First number ├Ч second number = HCF ├Ч LCM => 4x ├Ч 7x = 5488 => x2┬а= [5488/(4├Ч7)] = 196 => x =┬атИЪ196 = 14 Sum of the numbers = 4x + 7x = 11x = 11 ├Ч 14 = 154

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