Hi Ward,
I'm 33, not quite 35 but still up there. I recently got into Tepper at CMU, and had quite a few cards stacked against me (Theater undergrad, GPA wasn't great, 680 on GMAT, work history was definitely "untraditional"). I'd say that my saving grace was that I had a great story, and some nice extracurriculars. So I wouldn't necessarily count yourself out simply due to age. I know that was one of my major concerns in applying, but I got into nearly every school I applied to. Just shore up the positive aspects, don't fret about the negatives, make connections everwhere you can on campus ahead of time (current students, clubs, admins, alumni - LinkedIn is great resource for this). Learn everything you can about the program, what you love about it, and talk about it with as many people as possible (MBA conferences, campus visits, etc.) I know that this not only helped me out in my networking, but also really helped me to hone where I wanted to go and why.
BTW, I'm chronicling my GMAT studies, pre-matriculation woes, etc. in a blog in case you might be interested.
https://www.takingontepper.blogspot.comGood LUCK!!!
Best,
Josh