The total cost of 2 tickets to station A and 3 tickets to station B is ₹ 46. Also, the total cost of 3 tickets to station A and 5 tickets to station B₹ 74. Find the fares to station A and to station B.
₹ 8 and ₹ 10
Let the fare to station A be ₹ x and the fare to station B be ₹ y
According to the given conditions, we have
2x + 3y = 46 .....(i)
3x + 5y = 74 .....(ii)
Multiplying equation (i) by 3 and equation (ii) by -2 we get,
6x + 9y = 138
-6x -10y = -148
____________
⇒−y=−10
⇒ y=10
Substitute y=10 in equation (i)
2x+3(10)=46
2x+30=46
2x=46−30
2x=16
x=8
Hence fares to Station A and to Station B are ₹ 8 and ₹ 10 respectively.