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Let M be Jason's mother's age.
Jason's age is (1/2)(M - 6).
Thus, 16 = (1/2)(M - 6).
Multiplying both sides by 2 yields 32 = M - 6.
Adding 6 to both sides we get 38 = M.
Thus, Jason's mother is 38 years old. Answer: \boxed{38}.