Answer:
14 years
Explanation:
Let's assume the number of years from now when the father will be twice as old as Mike is represented by "x".
Currently, Mike is 12 years old, and his father is 38 years old. After "x" years:
Mike's age: 12 + x
Father's age: 38 + x
According to the given condition, the father's age will be twice as old as Mike's age. Therefore, we can write the equation:
38 + x = 2(12 + x)
Let's solve this equation to find the value of "x":
38 + x = 24 + 2x
Subtracting x from both sides:
38 = 24 + x
Subtracting 24 from both sides:
14 = x
Therefore, in 14 years, the father will be twice as old as Mike.