One morning the math teacher tells her
student: “I met three people on the way here
today. The product of their ages is 2450. The
sum of their ages is the double of yours. What
are the ages? In the afternoon, the student
told the teacher that he could not answer the
question as asked. The teacher added, “I can
only say that one of the three is older than
me.” The student then replied, “now I know
your age.” How old is the teacher?