document.write( "Question 1200283: 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? \n" ); document.write( "

Algebra.Com's Answer #834382 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A movie star, unwilling to give his age, posed the following riddle
\n" ); document.write( "to a gossip columnist: \"6 years ago, I was 11 times as old as my daughter.
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document.write( "Let x be the daughter's age now.\r\n" );
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document.write( "Then the movie star's age now is 5x, according to the problem.\r\n" );
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document.write( "6 years ago, the star was (5x-6) years old, \r\n" );
document.write( "while her daughter was x-6 years old.\r\n" );
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document.write( "Write an equation for their ages 6 years ago\r\n" );
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document.write( "    5x-6 = 11*(x-6).\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    5x - 6 = 11x - 66\r\n" );
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document.write( "    66 - 6 = 11x - 5x\r\n" );
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document.write( "       60  =    6x\r\n" );
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document.write( "        x  =    60/6 = 10.\r\n" );
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document.write( "Thus, the daughter's age now is 10 years; hence, the movie star is 5*10 = 50 years old now.\r\n" );
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document.write( "ANSWER.  The movie star is 50 years old now.\r\n" );
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