# The age of the three girls

## technical sheet

- The multiplication of their 3 ages gives the number 36, replies the other.
- I can not find their ages, responds first.
- The addition of their ages gives the same number as that which is inscribed above this porch, just in front of us.
- I still can not answer, said the first.
- The eldest is blonde.
- Oh yes, of course, I know their respective ages, now!

What are the respective ages of the three girls?

The possibilities for the multiplication of ages of 3 girls to give 36 are as follows:

36 - 1 - 1 (The sum is then 38)
18 - 2 - 1 (Sum = 21)
12 - 3 - 1 (Sum = 16)
9 - 4 - 1 (Sum = 14)
9 - 2 - 2 (Sum = 13)
6 - 6 - 1 (Sum = 13)
6 - 3 - 2 (Sum = 11)
4 - 3 - 3 (Sum = 10)

If the second indication ("same number as the one written above this porch") can not help us to find the answer, it is because there are several possibilities, so the sum is 13. We have the remaining following proposals:

9 - 2 - 2 (Sum = 13)
6 - 6 - 1 (Sum = 13)

The last indication ("Elder is blonde") allows to deduce that one of the girls is older than her sisters, the correct answer is as follows: 9-2-2!