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      Question

      Three numbers are in ratio 3:5:6. If the sum of the

      squares of those three numbers is 280 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

      Solution

      A : B : C = 3x : 5x : 6x A2┬а+ B2┬а+ C2┬а= 9x2┬а+ 25x2┬а+ 36x2┬а= 70x2 => 70x2┬а= 280 => x = 2 => A + B + C = 3x + 5x + 6x = 14x = 14┬а├Ч┬а2 = 28

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