A clogging team currently has 7 members: 3 members are 50 years old, and the other 4 are 42, 36, 35, and 20. They need an 8th clogger to join the team for a competition. In order for the team to compete in the Adult division, the average age of the members must be at least 30. What is the youngest their new member can be and still allow them to compete in the Adult division? Show work. Then give median age of the team members.
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