I use lotion. My hands aren't old and wrinkly.
Most the time it was my mom who did that.
I however, outsmarted her and made my water too hot, so she'd wash her hands somewhere else. It bugged me when people put there hands in my sink, how unsanitary, I'm trying to wash the dishes, not dirty them!
I usually rinse my dishes before I wash them as well. It makes my hot dishwater stay clean longer so I can use it longer.