if you touch the strings of your guitar does the hum stop / get softer? if it does, most probably it's grounding issue. change / replace your power cable to a three pin one.
if it doesn't try plugging in another guitar with a humbucker unit, does the hum stop? if it does then the wiring for your single coils are the culprit.
if all of these doesn't stop the hum and your amp is already grounded, better to bring it to a tech to check, it may be the tubes if they have not been replaced for many years, though worn out tubes tend to create noise not similar to hum.