Unknown Ages

If Roberto was born on his grandmother’s birthday, how old are Roberto and his grandmother now?


Roberto was born on his grandmother’s birthday. The two digits of Roberto’s age today are the reverse of the digits of his grandmother’s age. The grandmother’s age is a prime number. Ten years from now, his grandmother will be three times as old as Roberto will be then. How old are Roberto and his grandmother now?

(Source: Adapted from Mathematics Teaching in the Middle School, Jan-Feb 1995)