From Delhi station if we buy 2 tickets to station A and 3 tickets to station B, the total cost is Rs. 77, but if we buy tickets 3 tickets to station A and 5 tickets to station B, the total cost is Rs. 124. What are the fares from Delhi to station A and to station B?
13, 17
Let the fares from Delhi to station A and to station B be 'x' and 'y'
2 tickets to station A and 3 tickets to station B costs Rs. 77
2x + 3y = 77 ----- (1)
3 tickets to station A and 5 tickets to station B costs Rs. 124
3x + 5y = 124 ------- (2)
On solving equations (1) and (2)
x= 13 and y = 17
Hence, the fares from Delhi to station A and to station B are Rs. 13 and Rs. 17