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      Question

      The number of books with ‘Aarav’ and ‘Bhavna’

      together is 18 more than that with ‘Chirag’, while the number of books with ‘Bhavna’ and ‘Chirag’ together is 12 more than that with ‘Aarav’. If ‘Aarav’ and ‘Chirag’ together have a total of 40 books, then find the number of books with ‘Aarav’, ‘Bhavna’, and ‘Chirag’, together.
      A 80 Correct Answer Incorrect Answer
      B 55 Correct Answer Incorrect Answer
      C 95 Correct Answer Incorrect Answer
      D 65 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the number of books with ‘Aarav’, ‘Bhavna’, and ‘Chirag’ be ‘x’, ‘y’, and ‘z’, respectively. Therefore, x+y=z+18 ………(1) y+z=x+12 ………(2) x+z=40 ………(3) Add equations (1), (2), and (3): 2(x+y+z)=x+z+70 Or, 2(x+y+z)=40+70 Or, x+y+z=110/2=55 Thus, the total number of books with Aarav, Bhavna, and Chirag together is 55.

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