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      Question

      The average age of (x + 4) students is 14 years. When a

      tutor aged 30 years is included, the average increases by 1 year. Find x% of 900.
      A 72 Correct Answer Incorrect Answer
      B 42 Correct Answer Incorrect Answer
      C 88 Correct Answer Incorrect Answer
      D 99 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total age of students = 14(x + 4) years According to question, [14(x + 4) + 30] = (14 + 1)(x + 4 + 1) 14x + 56 + 30 = 15x + 75 14x + 86 = 15x + 75 15x โ€“ 14x = 86 โ€“ 75 x = 11 So, 11% of 900 = 99

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