it could mean that you spend too much time on the computer and you may have a condition called carpal tunnel syndrome in which the blood vessels in your hand become blocked and cannot transmit impulses and blood to your hand in which case can be fixed through surgery
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Did you sleep on them? Well that would be kind of weird... maybe somehow one arm got numb and it did it to the other. That happened because you basically "killed" your nerves therefore making your arms numb. Don't worry, you really didn't kill them... you basically knocked them out.
My right arm use to do this, maybe try sleeping with your arm in a different position.
Hope this helps :)