How hold are they

1
How hold are they?

• Three pupils in a secondary school and their
  headteacher have birthdays on the same day.
• The product of the ages of the pupils is 2652.
• The sum of the ages of the pupils is exactly the
  age of the headteacher.
• How old is the headteacher?

2

• Solution
• 13, 12, and 17 hence the head is 42