Final answer:
The statement is true; in 6 years Novella will be 72 years old, which is 6 times the age of her nephew who will be 12 years old then.
Step-by-step explanation:
The question requires us to determine whether a statement about the ages of Novella and her nephew is true or false. Let's solve it with a step-by-step approach using a simple algebraic equation. We know that Novella's nephew is currently 6 years old. To find out how old Novella will be in 6 years, we need to first establish Novella's current age. If x represents Novella's current age, then in 6 years, she will be x + 6 years old. The statement claims that at that time, Novella will be 6 times as old as her nephew. Therefore, her nephew will be 6 + 6 = 12 years old in 6 years.
To check if the statement is true, we set up the equation x + 6 = 6 × (6 + 6), which simplifies to x + 6 = 72. Solving for x, we find that x = 72 - 6, which means x = 66. Therefore, Novella is currently 66 years old. In 6 years, she will be 66 + 6 = 72, which is indeed 6 times her nephew's age of 12. Thus, the statement is true.