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      Question

      A grandmother distributed a total of 480 gold coins

      between her two sons in the ratio of (x + 1) to (x – 1). The difference in the number of coins received by the two sons is 120. Find the value of x.
      A 2 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer
      E 3 Correct Answer Incorrect Answer

      Solution

      According to question,
      480(x + 1)/[(x + 1) + (x – 1)] – 480
      (x - 1)/[(x + 1) + (x – 1)] = 120
      4[(x + 1) – (x – 1)] = [(x + 1) + (x – 1)]
      8 = 2x
      x = 8/2 = 4

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