Let's denote the number of years from now as \( x \).
In \( x \) years, Todd's age will be \( 33 + x \) and Jacob's age will be \( 12 + x \).
We want to find when Jacob's age will be half of Todd's age:
\[ 12 + x = \frac{1}{2}(33 + x) \]
To eliminate the fraction, we can multiply both sides of the equation by 2:
\[ 2(12 + x) = 33 + x \]
This simplifies to:
\[ 24 + 2x = 33 + x \]
Next, we can subtract \( x \) from both sides:
\[ 24 + x = 33 \]
Now, subtract 24 from both sides:
\[ x = 33 - 24 \]
\[ x = 9 \]
In 9 years, Jacob will be half of Todd's age. To verify:
- In 9 years, Todd will be \( 33 + 9 = 42 \).
- In 9 years, Jacob will be \( 12 + 9 = 21 \).
Indeed, \( 21 \) is half of \( 42 \).
Thus, the answer is that in 9 years Jacob will be half his uncle Todd's age.
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