1. "Two boys and two girls." Jim replaced the photo. "That was Ann. She's in her teens." Greg smiled. "Quite a family for these days," he commented. "How old are the boys?" "You figure it out," Jim 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 Ann's age it gives the square of the other boy's age." How old were the boys?

Boys 15 and 20 years old, girls 9 and 16

Boys 14 and 19 years old, girls 7 and 13

Boys 16 and 21 years old, girls 8 and 15