Fortunateson09, you are of course assuming that n<a, where n is the number of bikes owned by the person in question, and a is the number of bikes owned by their riding buddy. Let number of bikes required=r, and the number of additional bikes needed=y
So
r=a+1 if n<a y=(a-n)+1
r=n+1 if n>a y=1
So, yes you do need at least one more. How mny does your riding buddy have?
Of course, if the riding buddy then applies this formula to his own situation, using the new value of n, let's call it N, then his r and y are calculated as
r=N+1 if a<N y=N-a+1
r=a+1 if a>N y=1
The more asstute among you will of course have noticed that we have an infinte sequence in which inevitably
a=N= ?
One can never have too many bikes.
I once did hint to my riding buddy that I may have too many, but he helpfully suggested a solution to my problem. 'Get a bigger garage.'