C#: Object Oriented issue

Public class Person{
  private int age;
  private string name;

  public Person(){
    this.age = 0;
    this.name = "";
  }
  
  public int Age { get{ return this.age; } set { this.age = value; } }
  public string Name { get{ return this.name; } set { this.name= value; } }

}

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Person p = new Person();
firstPersonName = p.listPersons[0].name;
firstPersonAge = p.listPersons[0].age;

secondPersonName = p.listPersons[1].name;
secondPersonAge = p.listPersons[1].age;

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