If the answer above is None it means there is no specific mention in the legislation, but you still need to ask local law enforcement before drinking in Zimbabwe.
*18 (except with parent/guardian consent)
Liquor Act Article 116 Prohibited conduct by persons in general (1) No person shall— ... (l) being a person to whom in terms of this Act the sale of liquor is prohibited, purchase or attempt to purchase liquor in contravention of such provision; .... (o) sell, lend, give, supply or deliver, or offer so to do, any liquor to any person under the age of eighteen years except with the consent of the parent or guardian of that person. Children's Act Section 78 - It is prohibited for any person to sell, lend, give, supply, deliver or offer alcohol beverages to any child under the age of 16 years, except upon production of a written order signed by the parent or guardian of the child known to such person. The police has the duty to seize any alcohol beverage in the possession of a child under the age of 16 years without a written consent of the parents or legal guardian.
You can find more legal details and links here:
Wikipedia Legal Drinking Page