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Every station in a railroad issue every other station's ticket.  Some stations are added. Now they have to issue 46 more tickets. The number of stations before and after the addition is?Â
Explanation :
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if there are n stations thn total tickets issued =n*(n-1)
if k no of more station are added
then tickets issued=(n+k)*(n+k-1)
the difference of two is 46
the equation becomes
(k^2)+(2n-1)(k)-46=0
solve it for integer values
initial stations = 11
additional stations = 2
total =13 now
