Question

James is six years older than Peter, and the average of their ages is twice Peter's age. How old are they? a) James: 18 years, Peter: 12 years b) James: 15 years, Peter: 9 years c) James: 12 years, Peter: 6 years d) James: 9 years, Peter: 3 years

Answer 1

To solve this problem, set up two equations using the given information. Solve the equations to find the ages of James and Peter.

Step-by-step explanation:

To solve this problem, we can set up two equations using the information given. Let's assume Peter's age is x. According to the problem, James is six years older than Peter, so James' age is x + 6. The average of their ages is twice Peter's age, so we can write the equation: (x + x + 6) / 2 = 2x. Solving this equation, we find that x = 6. This means Peter is 6 years old, and James is x + 6 = 6 + 6 = 12 years old.

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