Final answer:
To find Ben's age, we establish an equation based on the given information that Ben is three times as old as Daniel and four years older. Solving this equation reveals that Daniel is 2 years old, therefore, Ben is 6 years old.
Step-by-step explanation:
The question states that Ben is 3 times as old as Daniel and also 4 years older than Daniel. To solve for Ben's age, let's assign the variable D to represent Daniel's age. Therefore, Ben's age can be expressed as 3D. It's also stated that Ben is 4 years older than Daniel, which gives us another equation, Ben's age equals Daniel's age plus 4 (D + 4).
Setting these two expressions for Ben's age equal to each other gives us: 3D = D + 4. By solving this equation, we subtract D from both sides to get 2D = 4. Dividing both sides by 2 gives us D = 2, which is Daniel’s age.
To find Ben's age, we multiply Daniel’s age by 3, as Ben is three times older than Daniel. So, Ben's age is 3 * 2 = 6 years old.