## Question

**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?**

A. Rs. 15, Rs. 14

B. Rs. 17, Rs. 13

C. Rs. 13, Rs. 17

D. Rs. 4, Rs. 23

**Answer: C. Rs. 13, Rs. 17**

**Solution:**

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) and

3x + 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.**

**Hence, the answer is x = 13 rs and y = 17 rs.**

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