Two train tickets from city X to Y and three tickets from city X to Z cost Rs. 77 but three tickets from city X to Y and two tickets from city X to Z cost Rs. 73. What are the fares Z or cities Y and Z from X respectively?

Two train tickets from city X to Y and three tickets from city X to Z cost Rs. 77 but three tickets from city X to Y and two tickets from city X to Z cost Rs. 73. What are the fares Z or cities Y and Z from X respectively? Correct Answer Rs. 13, Rs. 17

From the given information in question-

2XY + 3XZ = 77  ...(1)

3XY + 2XZ = 73  ...(2)

After adding both the above equations-

5XY + 5XZ = 150

XY + XZ = 30  ...(3)

Here, Only Option (2) satisfies the above equation.

Hence, Option (2) is correct.

Related Questions