Question 1200283
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A movie star, unwilling to give his age, posed the following riddle 
to a gossip columnist: "6 years ago, I was 11 times as old as my daughter. 
Now I am 5 times as old as she is." How old is the movie star?
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Let x be the daughter's age now.

Then the movie star's age now is 5x, according to the problem.


6 years ago, the star was (5x-6) years old, 
while her daughter was x-6 years old.


Write an equation for their ages 6 years ago

    5x-6 = 11*(x-6).


Simplify and find x

    5x - 6 = 11x - 66

    66 - 6 = 11x - 5x

       60  =    6x

        x  =    60/6 = 10.


Thus, the daughter's age now is 10 years; hence, the movie star is 5*10 = 50 years old now.


<U>ANSWER</U>.  The movie star is 50 years old now.
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Solved.