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Let's start by using algebra to solve for their current ages:
Let x be Amy's age
Then x - 6 is Billy's age
The sum of their ages is 22, so we can write an equation:
x + (x-6) = 22
Simplifying and solving for x:
2x - 6 = 22
2x = 28
x = 14
So Amy is currently 14 years old, and Billy is 8 years old.
In 8 years, Amy will be 22 years old (14 + 8), and Billy will be 16 years old (8 + 8).
Therefore, Amy will be 22 and Billy will be 16 in 8 years.