Granny has $$10$$ grandchildren. Alice is the oldest. One day, Granny notices that her grandchildren all have different ages. If the sum of her grandchildren\textquotesingle s ages is $$180$$, what is the youngest age that Alice can be． 
选项为:A:$$19$$  B:$$20$$  C:$$21$$  D:$$22$$  E:$$23$$  请回答其中一个选项.