A railway half ticket cost half the full fare but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from the stations A to B costs Rs. 2530. Also, one reserved first class ticket and one reserved first class half ticket from stations A to B costs Rs. 3810. Find the full first class fare from stations A to B and also the reservation charges for a ticket.

Explanation

To solve the problem, we need to set up equations based on the information given about the ticket prices. Let's denote:

- \( x \) = Full fare for a first-class ticket from station A to B (in Rs.)
- \( y \) = Reservation charges for a ticket (in Rs.)

### Step 1: Formulate the equations

From the problem statement, we have two scenarios:
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