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  • Question
  • Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?


  • Options
  • A. Rs. 4, Rs. 23
  • B. Rs. 13, Rs. 17
  • C. Rs. 15, Rs. 14
  • D. Rs. 17, Rs. 13

  • Correct Answer
  • Rs. 13, Rs. 17 

    Explanation
    Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

    Then, 2x + 3y = 77 ...(i) and

    3x + 2y = 73 ...(ii)

    Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

    Putting y = 17 in (i), we get: x = 13.


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