Will Google overthrow Apple and Facebook

Will Google overthrow Apple and Facebook ? ? Solve this puzzle and find out:

In a town called Silicon valley everyone of its occupants wears T-shirt of any one of the three kind of companies (Google ,Facebook,Apple) to which they are loyal.

And the strictly follow a tradition which states that whenever two people wearing different kind of T-shirt meet they discard the t-shirts they were wearing and put on the t-shirt of the left out company which neither of them posses and ultimately remain loyal their new t-shirt company.

Other than that they never change their loyalty or t-shirt:

Now in an event in this silicon town you notice the there are some people gathered in a closed hall and you notice 

Number of people wearing Google’s t-shirt is 21

Number of people wearing Facebook's t-shirt is 25

Number of people wearing Apple's t-shirt is 23

Now assuming that no one leaves the hall is it possible that at any time all the people in the hall will eventually wear same kind of t-shirts, supporting the same company ???

::SOLUTION::

This kind of puzzles could be solved in just two simple steps.

1. Behold that two numbers are equal in our problem.If two numbers are equal in our problem then all people can wear same kind of t-shirt.e.g. Number of people wearing Google’s t-shirt is 21 and Number of people wearing Facebook's t-shirt is 21 then all people will be wear t-shirt of Apple's.But here fate is not with us and so we need to check step 2.
2. Count the total number of people and check if this number can be form of 2^x which will eventually be like 2,4,8,16,... and if it can be in this form then all people can wear same kind of t-shirt.Here total is 21+23+25=69 and it can not be convert into 2^x form so people of Silicon valley never wear same kind of t-shirt.