如何编写这个嵌套的Linq To Xml查询

XElement root = XElement.Parse(@"<Root>
                                   <Person>
                                        <Name>John</Name>
                                        <Age>35</Age>
                                    </Person>
                                   <Person>
                                        <Name>Jane</Name>
                                        <Age>30</Age>
                                    </Person>
                                </Root>");

var query = from person in root.Elements("Person")
            where (int)person.Element("Age") > 30
            select person.Element("Name").Value;

foreach (var name in query)
{
    Console.WriteLine(name);
}