document.write( "Question 1151467: Lyn's father is 4 times as old as Lyn. Five years ago the father was 7 times as old as Lyn. How old is Lyn now \n" ); document.write( "

Algebra.Com's Answer #773224 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "let Lyn's father age be $\"x\"$ and Lyn's age $\"y\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if Lyn's father is $\"4\"$ times as old as Lyn, we have\r
\n" ); document.write( "\n" ); document.write( " $\"x=4y\"$ ...........eq.1\r
\n" ); document.write( "\n" ); document.write( "if $\"five\"$ years ago the father was $\"7\"$ times as old as Lyn, we have\r
\n" ); document.write( "\n" ); document.write( " $\"x-5=7%28y-5%29\"$ .......eq.2\r
\n" ); document.write( "\n" ); document.write( "substitute $\"x\"$ from eq.1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"4y-5=7%28y-5%29\"$ .......eq.2......solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4y-5=7y-35\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"35-5=7y-4y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"30=3y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=10\"$ \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " Lyn is $\"10\"$ years old now\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );