Final answer:
It will take 10 years for Brian's age to be 3 times Karissa's age, based on the current age difference of 54 years and solving a simple equation.
Step-by-step explanation:
The age difference between Brian and Karissa is 71 - 17 = 54 years. This difference will remain constant. To find out how many years it will take until Brian's age is 3 times Karissa's age, we can set up an equation:
Let x be the number of years until Brian's age is 3 times Karissa's age.
Brian's age in x years will be 71 + x.
Karissa's age in x years will be 17 + x.
We are looking for when:
71 + x = 3(17 + x)
Now, we solve for x:
71 + x = 51 + 3x
71 = 51 + 2x
71 - 51 = 2x
20 = 2x
x = 10
Therefore, it will take 10 years for Brian's age to be 3 times Karissa's age.