The Correct Answer and Explanation is:
The correct answer is 19.
To solve this problem, we must first determine the current ages of both Brian and his brother. The problem states that Brian is currently 8 years old. His brother is twice his age, which means we can find the brother’s current age by multiplying Brian’s age by two.
Brother’s current age = Brian’s current age × 2
Brother’s current age = 8 × 2 = 16 years old.
Now we know that Brian is 8 and his brother is 16. The age difference between them is a constant value that will never change. We can calculate this difference by subtracting Brian’s age from his brother’s age.
Age difference = 16 – 8 = 8 years.
This tells us that the brother is always 8 years older than Brian.
The question asks for the brother’s age when Brian is 11. Since the brother is always 8 years older, we can simply add this constant age difference to Brian’s future age.
Brother’s future age = Brian’s future age + age difference
Brother’s future age = 11 + 8 = 19 years old.
Another way to approach the problem is to calculate the number of years that pass between Brian’s current age and his future age. The time that passes is 11 minus 8, which equals 3 years. During these 3 years, both Brian and his brother will get older. We can add these 3 years to the brother’s current age of 16.
Brother’s future age = Brother’s current age + years passed
Brother’s future age = 16 + 3 = 19 years old.
Both methods confirm that when Brian is 11, his brother will be 19.
