Reversed-flow core for a turbofan with a fan drive gear system

A gas turbine engine (10) comprises a fan drive gear system (12), a low spool (14) connected to the fan drive gear system, and a high spool (16) disposed aft of the low spool. The low spool comprises a rearward-flow low pressure compressor (26) disposed aft of the fan drive gear system, and a forward-flow low pressure turbine (30) disposed aft of the low pressure compressor. The high spool comprises a forward-flow high pressure turbine (32) disposed aft of the low pressure turbine, a combustor (18) disposed aft of the high pressure turbine, and a forward-flow high pressure compressor (36) disposed aft of the combustor.