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To solve this problem, we need to figure out the age of A two years ago and the age of A at the present time.
We are given that two years ago, the age of A was three times the age of B. Since B is currently 9 years old, we can calculate the age of A two years ago:
Age of A two years ago = 3 * (Age of B two years ago)
Age of B two years ago = Age of B at present - 2 = 9 - 2 = 7
Age of A two years ago = 3 * 7 = 21
Next, we need to find the present age of A. We know that the age of A two years ago was 21, so we can calculate A`s present age:
Age of A at present = Age of A two years ago + 2 = 21 + 2 = 23
Now, we need to determine after how many years the age of A will be double the age of B. Let`s denote this number of years as "x".
After x years, the age of A will be A`s present age + x, and the age of B will be B`s present age + x.
According to the question,