John asked Jaclyn about her children.

Jaclyn said "I have 3 daughters, Alice, Betty, and Cindy. The product of their ages is 36. The sum of their ages is the same as the street number of our next door neighbor."

Then John went next door and came back and said: "Still not enough information". Jaclyn said: "Oh, I forgot to tell you that my oldest daughter is now in school".

Now John found out the ages of her daughters immediately. Do you know their ages?

The age possibilities are

1, 4 ,9, Sum=14

1, 2, 18, Sum=21

1, 1, 36, Sum=38

1, 6, 6, Sum=13

2, 2, 9, Sum=13

2, 3, 6, Sum=11

3, 3, 4, Sum=10

John could not get the answer even after checking the street number of next door neighbor. This gives us the clue that there are more than one case where the sum of their ages is the street number of next door neighbor. From above possibilities, only sum 13 has two cases.

The case 2, 2, 9 will be definitely the case because the oldest daughter (age 9) goes to school.

Not that it changes the solution, but 1, 3, 12 is another possible combination for the ages.