Question 15
The following is a conversation between Esther and Frank who met on a bus.
- Esther: I have three children. Their ages are whole numbers, the product of their ages is 72, and the sum of their ages is the bus number of this bus that we are on.
- Frank: Of course I know the bus number, but I still don’t know their ages.
- Esther: Oh, I forgot to tell you that my two youngest children have the same age.
- Frank: Oh, now I know their ages.
So what are the ages of the three children?
**Editorial input note:** Enter the three ages in nondecreasing order, separated by commas, with no spaces.
- Esther: I have three children. Their ages are whole numbers, the product of their ages is 72, and the sum of their ages is the bus number of this bus that we are on.
- Frank: Of course I know the bus number, but I still don’t know their ages.
- Esther: Oh, I forgot to tell you that my two youngest children have the same age.
- Frank: Oh, now I know their ages.
So what are the ages of the three children?
**Editorial input note:** Enter the three ages in nondecreasing order, separated by commas, with no spaces.