Two bus tickets from city A to B and three tickets trom city A to C cost Tk 77 but three tickets from city A to B and two tickets from city A to C cost Tk What are the fares for cities B and C from city A?

2*(AB) + 3*(AC) = 77

or, 6*(AB) + 9*(AC) = 231 (x 3)    ...................... (1)

And,

3*(AB) + 2*(AC) = 73

or, 6*(AB) + 4*(AC) = 146  (x 2) .......................... (2)

From, (1) - (2), we get,

5*(AC) = 231 - 146 = 85

or, (AC) = 85/5  = 17 tk

Now, replacing the value of (AC) in eq (1),

6*(AB) + 9*17 = 231

or, 6*(AB) = 231 - 153

or, (AB) = 78/6  =13 tk