document.write( "Question 756733: A movie star, unwilling to give his age, posed the following riddle to a gossip columnist: \"5 years ago, I was 12 times as old as my daughter. Now I am 7 times as old as she is.\" How old is the movie star? \n" ); document.write( "
Algebra.Com's Answer #460420 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let a = Star's present age \n" ); document.write( "Let d = Daughter's present age \n" ); document.write( ": \n" ); document.write( "Write an equation and simplify it, for each statement. \n" ); document.write( ": \n" ); document.write( "\"5 years ago, I was 12 times as old as my daughter.\" \n" ); document.write( "a - 5 = 12(d-5) \n" ); document.write( "a - 5 = 12d - 60 \n" ); document.write( "a = 12d - 60 + 5 \n" ); document.write( "a = 12d - 55 \n" ); document.write( ": \n" ); document.write( "\"Now I am 7 times as old as she is.\" \n" ); document.write( "a = 7d \n" ); document.write( "replace a with (12d-55) \n" ); document.write( "12d - 55 = 7d \n" ); document.write( "12d - 7d = 55 \n" ); document.write( "5d = 55 \n" ); document.write( "d = 55/5 \n" ); document.write( "d = 11 yrs is daughters age \n" ); document.write( ": \n" ); document.write( "How old is the movie star? \n" ); document.write( "a = 7(11) \n" ); document.write( "a = 77 yrs old is the star \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the 1st statement \n" ); document.write( "\"5 years ago, I was 12 times as old as my daughter. \" \n" ); document.write( "77 - 5 = 12(11-5) \n" ); document.write( "72 = 12(6); confirms our answer \n" ); document.write( " |