1. "That's interesting," Ted exclaimed, putting down his pen. "I'm 20, you're only a teenager, but do you know what a reciprocal is?" Bill nodded. "Of course I do. You write one over the number, like a third is the reciprocal of three." "So listen to this," Ted told him. "If you add the squares of the reciprocal of your age and mine, you get the square of the reciprocal of Ruth's age." What were the three ages?

Ted 18 years old, Bill 16 years old, Ruth 13 years old

Ted 13 years old, Bill 12 years old, Ruth 11 years old

Ted 20 years old, Bill 15 years old, Ruth 12 years old