Let's denote your age last year as ( x ). Since ( x ) is divisible by 9, we can write ( x = 9k ) for some integer ( k ). Next year, your age will be ( x + 2 ), and it needs to be divisible by 8, so ( x + 2 \equiv 0 \mod{8} ). Solving these conditions, you are currently 53 years old, as it meets both requirements.
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