document.write( "Question 966777: the ratio of william's age to harry's age is 2:5
\n" ); document.write( "five years ago the ratio was 1:3
\n" ); document.write( "in how many years time will the ratio be 4:9? \n" ); document.write( "
Algebra.Com's Answer #590908 by lwsshak3(11628)\"\" \"About 
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the ratio of william's age to harry's age is 2:5
\n" ); document.write( "five years ago the ratio was 1:3
\n" ); document.write( "in how many years time will the ratio be 4:9?
\n" ); document.write( "***
\n" ); document.write( "at present:
\n" ); document.write( "w=william's age
\n" ); document.write( "h=harry's age
\n" ); document.write( "w/h=2/5
\n" ); document.write( "w=2h/5
\n" ); document.write( "x=years ratio of w/h will be 4/9
\n" ); document.write( "..
\n" ); document.write( "5 yrs ago:
\n" ); document.write( "w-5=william's age
\n" ); document.write( "h-5=harry's age
\n" ); document.write( "(w-5)/(h-5)=1/3
\n" ); document.write( "(2h/5-5)/(h-5)=1/3
\n" ); document.write( "h-5=3(2h/5-5)
\n" ); document.write( "h-5=6h/5-15
\n" ); document.write( "h=6h/5-10
\n" ); document.write( "5h=6h-50
\n" ); document.write( "h=50
\n" ); document.write( "w=2h/5=100/5=20
\n" ); document.write( "..
\n" ); document.write( "(20+x)/(50+x)=4/9
\n" ); document.write( "4(50+x)=9(20+x)
\n" ); document.write( "200+4x=180+9x
\n" ); document.write( "5x=20
\n" ); document.write( "x=4
\n" ); document.write( "in how many years time will the ratio be 4:9? 4
\n" ); document.write( " \n" ); document.write( "
\n" );