Question

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?

• A. 13, 17
• B. 14, 18
• C. 20, 24
• D. None of these

Answer 1

The correct option is A

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