Final answer:
Using a system of equations, we found that Lebron is 16 years old and Kobe is 32 years old, based on the information that Kobe is twice as old as Lebron and their combined age is 48 years.
Step-by-step explanation:
The question involves solving a system of linear equations to find the ages of two individuals, Kobe and Lebron. We can set up two equations using the information given: Let Lebron's age be L and Kobe's age be K. The problem gives us the following two equations to work with: K = 2L (Kobe is twice as old as Lebron) and K + L = 48 (the sum of their ages is 48).
- First, we can substitute the first equation into the second, replacing K with 2L, giving us 2L + L = 48.
- Then, we combine like terms to get 3L = 48.
- Now, divide both sides by 3 to solve for Lebron's age: L = 48/3, which gives us L = 16.
- Now that we know Lebron's age, we can use the first equation to find Kobe's age: since K = 2L, we have K = 2 × 16, thus K = 32.
In conclusion, Lebron is 16 years old, and Kobe is 32 years old.