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