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?

Rs. 4, Rs. 23
Rs. 13, Rs. 17
Rs. 15, Rs. 14
Rs. 17, Rs. 13

Correct answer: Rs. 13, Rs. 17

Solution

Let the fare from A to B be x and from A to C be y. Then 2x + 3y = 77 and 3x + 2y = 73. Solving these gives x = 13 and y = 17.

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