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Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?

A. Rs. 13 and Rs. 17

B. Rs. 17 and Rs. 19

C. Rs. 23 and Rs. 17

D. Rs. 13 and Rs. 19

View Answer

Correct choice: A

Explanation:

If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1) 3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13

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