Number train

The numbers 1,2,3,4,5,6,7,8 and 9 traveled by train. The train had three cars and each was carrying just three numbers. No. 1 rode in the first carriage, and in the last carriage was all odd numbers. The conductor calculated sum of the numbers in the first, second and last car, and each time he came out the same sum. Determine how numbers can be divided into the car. How many has this problem solutions?

Result

n =  1

Solution:

[168]:[249]:[357]







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please give a general method for forming natural number train

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