No, you do not put your age on a CV. Putting your age on a CV could lead to discrimination against you if employers think you’re too young or old for the job they’re advertising.
To avoid age discrimination, don’t put clues about your age on a CV. For example, including your graduation date is optional because listing it might make your age clear. For the same reason, don’t add work history from 15+ years ago to your CV unless it’s extremely relevant to the job.