document.write( "Question 178165: A movie star, unwilling to give his age, posed the following riddle to a gossip columnist. \"9 years ago, I was 15 times as old as my daughter. Now I am 6 times as old as she is.\" How old is the star? \n" ); document.write( "
Algebra.Com's Answer #133123 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Let the movie star's current age be x then the movie star's age nine years ago would be \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the daughter's current age be y then the daughter's age nine years ago would be \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"9 years ago, I was 15 times as old as my daughter.\" So:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Now I am 6 times as old as she is.\" So:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute and collect:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the daughter is 14 now, hence the movie star is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: Nine years ago he was 84 - 9 = 75. Nine years ago the daughter was 14 - 9 = 5. 5 X 15 = 75. Answer checks.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hmmm...not Tony Randall, not Jack Nicolsen, though they were both close.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |