Hard to say. If the rim bead, casing and inner rubber portion/lining of the tire is intact and not cracked/frayed, then it "could" be ridden with a certain amount of confidence. That being said, a pair of decent new tires, tubes, and rim tape or rim strips are relatively inexpensive to purchase and you'll won't have to question the integrity or reliability of your tires or tubes. Total cost should be less than $50.