Question

From Delhi station, if we buy 2 tickets for station A and 3 tickets for station B. the total cost is Rs. 77. But if we buy 3 tickets for station A and 5 tickets for station B. the total cost is Rs. 124. What are the fares from Delhi to station A and to station B ?

Answer 1

Let, the fare of ticket for station A be Rs. x

and the fare of ticket for station B be Rs. y

According, to the question

2x + 3y = 77....(1)

and

3x+5y = 124...(2)

Multiplying equation no. (1) by 3 and (2) by 2.

y = 17

From (1) 2x + 3 (17) = 77

2x = 77 - 51

2x = 26

x = 13

Thus, fare for station A = Rs. 13

and, fare for station B = Rs. 17