1. "Two boys and two girls." Jimmy replaced the photo. "That was Erin. She's in her teens." George smiled. "Quite a family for these days," he commented. "How old are the boys?" "You figure it out," Jimmy replied. "If you add the product of the girls' ages to the square of Ellen's age you get the square of their brother Jack's age, but added to the square of Erin's age it gives the square of the other boy's age." How old were the boys?

Boys 13 and 16 years old, girls 7 and 15

Boys 16 and 22 years old, girls 11 and 18

Boys 15 and 20 years old, girls 9 and 16