select the correct answer.\ncurrently, nora is 3 times as old as damon. in 8 years, she will only be 2 times…

select the correct answer.\ncurrently, 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?\na. 8 years old\nb. 16 years old\nc. 24 years old\nd. 32 years old

select the correct answer.\ncurrently, 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?\na. 8 years old\nb. 16 years old\nc. 24 years old\nd. 32 years old

Answer

Explanation:

Step1: Set up variables

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

Step2: Set up equation for 8 years later

In 8 years, Damon's age will be (x + 8), and Nora's age will be (3x+8). Since Nora will be 2 times as old as Damon in 8 years, we have the equation (3x + 8=2(x + 8)).

Step3: Solve the equation

Expand the right - hand side: (3x + 8=2x+16). Subtract (2x) from both sides: (3x-2x+8=2x - 2x+16), which gives (x+8 = 16).

Step4: Find Damon's age in 8 years

Damon's age in 8 years is (x + 8). Since (x+8 = 16) (from the previous step).

Answer:

B. 16 years old