Please Help!!!

[ch2831]

Aisha, Ben and Cheng entered a weekly school competition. In each week, the three of them came first second and third in some order. The scores for the top 3 places are positive integers and the same each week. The score for first place was more than the score for second place which was more than the score for third place. Aisha won in the first week. At one stage the total score for Aisha was 12, for Ben was 34 and for Cheng 9. What is the smallest number of additional weeks that will allow them to have the same scores?

 

[Deleted member 4993]

Aisha, Ben and Cheng entered a weekly school competition. In each week, the three of them came first second and third in some order. The scores for the top 3 places are positive integers and the same each week. The score for first place was more than the score for second place which was more than the score for third place. Aisha won in the first week. At one stage the total score for Aisha was 12, for Ben was 34 and for Cheng 9. What is the smallest number of additional weeks that will allow them to have the same scores?

Duplicate post (extensive help provided):

http://www.freemathhelp.com/forum/threads/75195-Help!!!

http://openstudy.com/updates/4f741ee3e4b0b478589d8a2a