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      Question

      Three numbers are in ratio 2:3:5. If the sum of the

      squares of those three numbers is 342 then find the sum of the three numbers.
      A 32 Correct Answer Incorrect Answer
      B 28 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 36 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      A : B : C = 2x : 3x : 5x A2 + B2 + C2 = 4x2 + 9x2 + 25x2 = 38x2 => 38x2 = 342 => x = 3 => A + B + C = 2x + 3x + 5x = 10x = 10 × 3 = 30

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