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      Question

      Two numbers are in the ratio 2:7. The product of their

      H.C.F. and L.C.M. is 5054. 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
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the numbers be 2x and 7x respectively. First number Γ— second number = HCF Γ— LCM => 2x Γ— 7x = 5054 => x2Β = [5054/(2Γ—7)] = 361 => x = √361 = 19 Sum of the numbers = 2x + 7x = 9x = 9 Γ— 19 = 171

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