There are four, five and six security guards in three schools a, B and C in a city. In order to strengthen the security force of the school, the three schools decided to increase the number of security guards. It is known that each school of a, B and C will increase at least two security guards, and the number of security guards after the increase of school C is twice that of school A. if the total number of security guards in the three schools is 14, try to find all the security increase schemes that meet the requirements

There are four, five and six security guards in three schools a, B and C in a city. In order to strengthen the security force of the school, the three schools decided to increase the number of security guards. It is known that each school of a, B and C will increase at least two security guards, and the number of security guards after the increase of school C is twice that of school A. if the total number of security guards in the three schools is 14, try to find all the security increase schemes that meet the requirements


This problem is not a difficult problem, but a basic sub situation discussion
Suppose school a adopts X students, then school C adopts 2x students, and school B adopts (14-3x) students
When a adopts 2 people, C adopts 4 people and B adopts 8 people
When a adopts 3 people, C adopts 6 people and B adopts 5 people
When a adopts 4 people, C adopts 8 people and B adopts 2 people
answer
To sum up
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