A new latch device for a screen door includes inside and outside handle assemblies. Each assembly has a lever adapted to be pivotably connected, respectively, to the inboard and outboard side of the screen door. The inboard lever has a paddle at one end and a stem at the other. The stem extends through an opening formed in the screen door. When the paddle is depressed, the stem moves along a cam surface formed in the outboard lever. This causes the outboard lever to disengage the fastener on the solid door to disconnect the solid door from the screen door. Additionally, when the screen door is in its latched position and not connected to the solid door, depressing the paddle causes the latching end of the outboard lever to disengage the doorjamb so that the screen door can be moved independently from its latched position into its open position.