SOLUTION: There N stations on a railroad. After adding X stations on the rail route 46 additional tickets have to be printed. Find N and X.

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Question 204697: There N stations on a railroad.
After adding X stations on the rail route 46 additional tickets have to be printed.
Find N and X.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
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