Robert, Paul is right. If the tires have been in doors all their lives, they may not show any cracks or other visible signs of "perishing". But at the age of your tires I find it amazing that there is no visible signs Be sure you are looking very closely at the right area of the sidewalls, about an inch above the edge of the rims.
But even if you see no cracks, the tread rubber will have hardened to a point that the tires provide much less grip than when they were new. Just drag your fingers across them and then compare the feel with some relatively new tires and you will feel the difference. Also, push into the tread with your thumb nails and then do the same with new tires. Again the old tires will feel hard and resistant, while the new tires will give and conform to the shape of your nails, and then bounce right back.
If they are original tires that you want to display at shows, get an extra set of rims and new tires for driving to the event and then switch over for the show.