Question 204697
each PAIR of stations means a PAIR of tickets (A to B and B to A)


2(old stations)(new stations) + 2(new stations)(new stations - 1) = 46


(N * X) + (X * (X - 1)) = 23


factoring ___ X (N + X - 1) = 23


23 is a prime number with only two factors, 1 and 23


so N = 23 and X = 1