Java APIs

Hi all:
I have a enum type let's say it is

public enum Type
{
  ONE,
  TWO;
}

If I want to compare the enum value to see if they are same value or not, let's say I have two:

Type a = Type.ONE;
Type b = Type.TWO;

should I use

 a.equals(b)

or

(a == b)

If I want to use it as another class's key field, and I want to override this class hashCode() and equals() methods.
Can enum Type return the correctly hash code?

For example the class is like:

public Class A 
{
  Type type;
  pubilc boolean equals(Object other)
  {
    // here skip check class type, null and class cast
    if(other.type.equals(this.type))
       return true;
    else
     return false;
  }

  public int hashCode()
  {
    int result = 31;
    result += 31 * result + type.hashCode() ;
   // can we get correct hash code from enum here? 
    return result;
  }
}