As a Silverlight newbie, I am finding it really hard to set up an RIA Web service. The examples available on the web almost always refer to Entity framework as the ORM but w
These scenarios (non-EntityFramework RIA Services with Silverlight) are definitely under documented and I hope to post some blog entries soon to cover these scenarios (including how to use NHibernate).
Here is one way to do what you are asking:
Install "Silverlight 4 Tools for Visual Studio 2010" if you haven't already:
http://www.microsoft.com/downloads/en/details.aspx?FamilyID=b3deb194-ca86-4fb6-a716-b67c2604a139&displaylang=en
Create a new Silverlight Navigation Application in Visual Studio 2010 (check the box to enable RIA Services).
Modify the web.config in the web project in the following ways:
In the <system.web> section, add:
<httpModules>
  <add name="DomainServiceModule"
   type="System.ServiceModel.DomainServices.Hosting.DomainServiceHttpModule,
         System.ServiceModel.DomainServices.Hosting, Version=4.0.0.0,
         Culture=neutral, PublicKeyToken=31BF3856AD364E35" />
</httpModules>
Add a <system.serviceModel> section as a peer of <system.web>:
  <system.serviceModel>
    <serviceHostingEnvironment aspNetCompatibilityEnabled="true"
     multipleSiteBindingsEnabled="true" />
  </system.serviceModel>
Add the following references to the web project:
System.ServiceModel.DomainServices.Hosting  
System.ServiceModel.DomainServices.Server
Create a new class VanillaDomainService in the web project that contains your "return 100" method:
[System.ServiceModel.DomainServices.Hosting.EnableClientAccess()]
public class VanillaDomainService :
                System.ServiceModel.DomainServices.Server.DomainService
{
    public int ReturnInteger100()
    {
        return 100;
    }
}
Now back to the Silverlight Application project, in Home.xaml.cs, in the OnNavigatedTo method, call your new RIA Services method (remember all calls are async):
    protected override void OnNavigatedTo(NavigationEventArgs e)
    {
        SilverlightApplication1.Web.VanillaDomainContext oneVanillaDomainContext =
           new SilverlightApplication1.Web.VanillaDomainContext();
        oneVanillaDomainContext.ReturnInteger100(
           anInt => MessageBox.Show(anInt.Value.ToString()), null);
    }
Now build and run and that should be it.
I tested this code and it worked for me.