general Maths Puzzle

15,14,14,16,22,__,__

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general Other Question

I person has to travel certain distance . On the first day he travelled one quarter of the distance. On day two, he travelled one half of the remaining distance. On day three, he travelled three quarters of the remaining distance.And yesterday he travelled one third of the remaining distance. Now he has 21 miles left to travel. How far is the total distance to be travelled? If (1/3)x-11 is less than or equal 4y+2,which in turn is strictly less than 5z+6.If 4z+11=7,what is the largest possible value for x?