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Aisha, Ben and Cheng entered a weekly school competition. In each week they participated, the three of them came first, second and third in some order. The scores for the top three places were positive integers and the same each week. The score for the first place was more than the score for the second place which was more than the score for third place. At one stage the total score for Aisha was 12, for Ben it was 34, and for Cheng9. After some more weeks, Aisha Ben and Cheng had the same score. What is the smallest number of additional weeks that will allow them to have the same score?
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