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Q.

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?


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a

Rs.4, Rs. 23

b

Rs.13, Rs. 17

c

Rs.15, Rs. 14

d

Rs.17, Rs. 13 

answer is B.

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Detailed Solution

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...........(1) And 3x+2y=73...........(2)
Multiplying (1) by 3 and (2) by 2 and subtracting, we get:
5y=85
y=17
Putting y=17 in (i), we get:
2x+3(17)=77
x=13.
Therefore, option (2) is correct.
 
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