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      Question

      The ratio of two numbers 'a' and 'b' is 7:4,

      respectively. Whereas the ratio of 'b' and 'c' is 5:8, respectively. When 15 is added to 'a', it becomes thrice of 'b'. Find the sum of 'a', 'b' and 'c'.
      A 55.66 Correct Answer Incorrect Answer
      B 52.2 Correct Answer Incorrect Answer
      C 65.5 Correct Answer Incorrect Answer
      D 75.2 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, let the numbers 'a' and 'b' be '14k' and 8k respectively. So, 'c' = 8k X (8/5) = '12.8k' ATQ; (14k + 15) = 3 X (8k) Or, 14k + 15 = 24k Or, k = 1.5 So, required sum = 14k + 8k + 12.8k = 34.8 X 1.5 = 52.2

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