If you're using Oracle, then a feature called analytics will do the trick. It looks like this:
select id, age, count(*) over (partition by age) from students;
If you aren't using Oracle, then you'll need to join back to the counts:
select a.id, a.age, b.age_count
from students a
join (select age, count(*) as age_count
from students
group by age) b
on a.age = b.age