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Let's assume Jason's mother's age is x.
According to the problem, Jason's age is 1/2(x-6).
But we also know that Jason is 16.
So, 1/2(x-6) = 16.
Multiplying both sides by 2, we get x-6 = 32.
Adding 6 on both sides, we get x = 38.
Therefore, Jason's mother's age is 38. Answer: \boxed{38}.