## Task 4 - 020624

Brigitte loves fun puzzles. She says:

"My father, my mother, and I are together 88 years old. My mother is exactly three times as old as I am and four years younger than my father."

How old is Brigitte? How old are her parents? Describe how to find the solution!
Brigitte is $a$ years old. Then her mother is $3 a$ and her father is $3 a+4$ years old, and thus

$$
a+3 a+(3 a+4)=7 a+4=88 \quad \Rightarrow \quad 7 a=84
$$

The solution is $a=12$, so Brigitte is 12 years old, her mother is 36 years old, and her father is 40 years old.