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      Question

      Two numbers are in the ratio 3:5. The product of their

      H.C.F. and L.C.M. is 3375. The sum of the numbers is:
      A 156 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 144 Correct Answer Incorrect Answer
      D 130 Correct Answer Incorrect Answer

      Solution

      Let the numbers be 3x and 5x respectively. First number × second number = HCF × LCM => 3x × 5x = 3375 => x2 = [3375/(3×5)] = 225 => x = √225 = 15 Sum of the numbers = 3x + 5x = 8x = 8 × 15 = 120

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