Henry Ernest Dudeney/Modern Puzzles/21 - Their Ages

by : $21$

 * Their Ages
 * If you add the square of Tom's age to the age of Mary,
 * the sum is $62$;
 * but if you add the square of Mary's age to the age of Tom,
 * the result is $176$.


 * Can you say what are the ages of Tom and Mary?