Laravel 5 (Eloquent) JOIN between two consultations, is it possible?

Question

The following SQL, executes two queries and "sums" the hard answers "laterally":

 select * from (select id,name from client  where id = 20) as a

 join  (select id,age from client  where id = 20) as b

 ON a.id = b.id

I wonder if it is possible to do this using eloquent, without using pure SQL (DB::Raw()). The two isolated consultations would look like this:

 $query1 = DB::table('client')->select('id','nome')->where('id','=',20);
 $query2 = DB::table('client')->select('id','age')->where('id','=',20);

Now, how to do:

 $query1->join($query2)...:

Before you tell me the obvious "it’s possible to have the same answer in a single query," that’s just one example, in the real context, believe it is not possible to bring all information at once.