Answer
40 years old
Work Step by Step
Let's say that $x$ is the daughter's age 7 years ago.
We know that 7 years ago he was 11 times her age or $11*x$. So his current age must be $11*x+7$. We know that the daughter's current age is $x+7$. We also know that his current age is 4 times his daughter's current age, so:
$11*x+7=4(x+7)$
We solve for $x$:
$11*x+7=4*x+28$
$7*x=21$
$x=3$
So his current age is $11*x+7=11*3+7=33+7=40$. Thus the movie star is 40 years old.