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      Question

      The number of marbles with Amit and Rahul is 14 more than

      with Kabir. Rahul and Kabir together have 4 more marbles than Amit. If Amit and Kabir together have 36 marbles, how many marbles are there in total?
      A 25 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 65 Correct Answer Incorrect Answer
      D 75 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let marbles with Amit = x, Rahul = y, Kabir = zThen:

      x + y = z + 14 ………(1)

      y + z = x + 4 ………(2)

      x + z = 36 ………(3)

      Add (1), (2), and (3):

      → 2(x + y + z) = x + z + 14 + 4 + 36 = x + z + 54

      → x + z = 36

      → 2(x + y + z) = 36 + 54 = 90

      → x + y + z = 45

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