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OpenStudy (anonymous):
Aisha, Ben and Cheng enter a school weekly competition. They earn 8 points for coming first, 2 points for coming second and 1 point for coming third. In each week, they come first, second and third in some order. After 5 weeks, the total score for Aisha was 12, for Ben was 34 and for Cheng 9. What is the smallest number of additional weeks for them to all have the same score?
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