Suppose there are 4x participants in Hope Cup, 6x participants in China Cup, 5x participants in Imagination Cup and 6x+4 participants in Olympic Games. According to the meaning of the question, we can get the equation:
2(4x-2)=6x+4+2,
8x-4=6x+6,
2x= 10,
x=5,
Then the original participants of the Hope Cup are: 4×5=20 (people),
China Cup has 6×5=30 participants.
The participants in the Imagination Cup are: 5×5=25 (people),
The number of participants in the Olympic Games is 6×5+4=34 (people).
So there are 20+30+34+25= 109 (people) participating in the competition;
A: 65,438+009 people participated in the competition.