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      Question

      Two numbers are in the ratio 2:8. The product of their

      H.C.F. and L.C.M. is 3600. The sum of the numbers is:
      A 150 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 140 Correct Answer Incorrect Answer
      D 130 Correct Answer Incorrect Answer

      Solution

      Let the numbers be 2x and 8x respectively. First number × second number = HCF × LCM => 2x × 8x = 3600 => x2 = [3600/(2×8)] = 225 => x = √225 = 15 Sum of the numbers = 2x + 8x = 10x = 10 × 15 = 150

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