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      Question

      Two numbers are in the ratio 4:9. The product of their

      H.C.F. and L.C.M. is 5184. The sum of the numbers is:
      A 156 Correct Answer Incorrect Answer
      B 144 Correct Answer Incorrect Answer
      C 171 Correct Answer Incorrect Answer
      D 182 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the numbers be 4x and 9x respectively. First number × second number = HCF × LCM => 4x × 9x = 5184 => x2 = [5184/(4×9)] = 144 => x = √144 = 12 Sum of the numbers = 4x + 9x = 13x = 13 × 12 = 156

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