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I am sixteen years old, four times your age. When I am twice as your age, what will my age be?

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Answer is $24$

Let my age be $x$ and your age be $y$

When $x=16$, $y=4$

Thus, $x-y=12$

Now I am twice as your age, thus $x = 2y$

$2y-y=12$

$y=12$
$x=24$
You can cross verify as after 8 years, my age will be 16+8=24 and your age will be 4+8=12.

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