When was the person born, and how old are they this year (1988), if their age this year is equal to the product of the last two digits of their birth year?
The person in the task is at most $9 \cdot 9=81$ years old, so if the last two digits of their birth year are $x$ and $y$, we can write the following equation: $x \cdot y=88-10 x-y$. From this: $y=\frac{98}{x+1}-10$. Since $x$ and $y$ are digits, only $x=6, y=4$ is the solution, so the person was born in 1964, and is currently $6 \cdot 4=24$ years old.