Shiur from Rabbi Elimelech Kohn Ztl on פרשת חיי שרה. Discussed: 

• What is the connection between Sarah and Esther? Chazal say that Esther merited to rule 127 countries because Sarah lived 127 years. 
• Why does the Gemara say Sarah’s beauty was like a 7 yr old and her innocence was like a 20 yr old - shouldn’t it be the other way around?
• How two seemingly contradictory compliments regarding Sarah’s beauty and her prophecy are really in sync with each other.