In Menorca and generally in Spain, the minimum age for drinking is 18 years old, but it's not just drinking.
In Menorca and in all Spain the minimum age to can drink alcohol is 18 years old.
There're a couple things you cannot do if you are younger a part of drinking.
If you're coming to Menorca, you don't need drinking to have fun. That's not like some parts of Majorca. It's totally different. Tourism here is more focuses in quality
You will be able to see some of the best beaches and calas of the Mediterranean sea like Son Bou Beach.