Question

select the correct answer. currently, nora is 3 times as old as damon. in 8 years, she will only be 2 times as old as damon. how old will damon be in 8 years? a. 8 years old b. 16 years old c. 24 years old d. 32 years old

Explanation:

Step1: Define variables

Let Damon's current age be $x$. Then Nora's current age is $3x$.

Step2: Set up equation for future age

In 8 years, Damon's age will be $x + 8$ and Nora's age will be $3x + 8$. We know that in 8 years, Nora will be 2 times as old as Damon, so we set up the equation: $3x + 8 = 2(x + 8)$.

Step3: Solve the equation

First, expand the right side: $3x + 8 = 2x + 16$. Then, subtract $2x$ from both sides: $x + 8 = 16$. Next, subtract 8 from both sides: $x = 8$.

Step4: Find Damon's age in 8 years

Damon's current age is $x = 8$, so in 8 years, his age will be $8 + 8 = 16$.

Answer:

B. 16 years old