sore arms

I would guess too much pressure on your hands. Might want to get the fit of the bike checked by a pro. Stem, top tube, saddle height/tilt.
Also an uncomfortable saddle can tend to make you lean forward too much.
Without a visual check it is hard to diagnose.

Also a little core work off the bike will certainly help. If your abs and back are doing more work you will put less pressure on your hands.

mrbill said:

I love my old Trek 5200, except for the problem I'm having with my arms. After just a few minutes of riding, the tricep muscles above my elbows begin to hurt. I switch my grip all over the place, but nothing helps. Are my handle bars too low? Too close? Too far? Am I getting too old (65)? Sometimes it's bad enough that I want to end the ride and go home.

Too much weight being carried by arms. Saddle may be too far forward; or tilted too far down; have fit checked.
when you lift your hands off the bars, you should be able to hold your trunk weight with your core and not fall forward.
Having said that, strengthening upper body, abs and arms has helped my riding...

OP, i had the same problem this past weekend. Although I am out of shape and biking muscles are not seasoned, wrists/hands/arms were more sore than the legs for me!! I did some research and also spoke to my spinning instructor.... they said exactly what has been said above. Stem height adjustment, seat tilt and weak core.

If you are in an aggressive (or somewhat aggressive in my case) position, the pressure for body weight is take my legs and upper body core. Putting weight on hands is very bad.