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( "

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A movie star, unwilling to give his age, posed the following riddle to a gossip columnist:
\n" ); document.write( " \"6 years ago, I was 11 times as old as my daughter.
\n" ); document.write( " Now I am 5 times as old as she is.\"
\n" ); document.write( " How old is the movie star?
\n" ); document.write( ":
\n" ); document.write( "let a = his present age
\n" ); document.write( "let d = daughter's present age
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( "\"
\n" ); document.write( "\"6 years ago, I was 11 times as old as my daughter.\"
\n" ); document.write( "a - 6 = 11(d-6)
\n" ); document.write( "a - 6 = 11d - 66
\n" ); document.write( "a = 11d - 66 + 6
\n" ); document.write( "a = 11d - 60
\n" ); document.write( "and
\n" ); document.write( "\" Now I am 5 times as old as she is.\"
\n" ); document.write( "a = 5d
\n" ); document.write( "replace a with 5d in the 1st equation
\n" ); document.write( "5d = 11d - 60
\n" ); document.write( "5d - 11d = -60
\n" ); document.write( "-6d = - 60
\n" ); document.write( "d = -60/-6
\n" ); document.write( "d = +10 is the daughters age
\n" ); document.write( "then
\n" ); document.write( "a = 5(10)
\n" ); document.write( "a = 50 yrs is his age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 1st statement
\n" ); document.write( "50 - 6 = 11(10-6)
\n" ); document.write( "44 = 11*(4) \n" ); document.write( "

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