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 ?
Rs. 4, Rs. 23
Rs. 13, Rs. 17
Rs. 15, Rs. 14
Rs. 17, Rs. 13
Explanation:
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 …(i) and3x + 2y = 73 …(ii)Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.Putting y = 17 in (i), we get: x = 13.
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 …(i) and3x + 2y = 73 …(ii)Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.Putting y = 17 in (i), we get: x = 13.