document.write( "Question 88943: Ruffy is 3/4 as old as Orlie.Four years ago,Ruffy was 1year more than 1/2 old as Orlie.How old is each \n" ); document.write( "
Algebra.Com's Answer #64701 by ankor@dixie-net.com(22740)\"\" \"About 
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Let x = Ruffy's age now, Let y = Orlie's age now
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\n" ); document.write( "Write an equation for what it says:
\n" ); document.write( "\"Ruffy is 3/4 as old as Orlie\"
\n" ); document.write( "x = .75y
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\n" ); document.write( "\"Four years ago, Ruffy was 1 year more than 1/2 old as Orlie.\"
\n" ); document.write( "(x-4) = .5(y-4) + 1
\n" ); document.write( "x - 4 = .5y - 2 + 1
\n" ); document.write( "x = .5y - 2 + 1 + 4
\n" ); document.write( "x = .5y + 3
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\n" ); document.write( "Substitute .75y for x and solve for y:
\n" ); document.write( ".75y = .5y + 3
\n" ); document.write( ".75y - .5y = 3
\n" ); document.write( ".25y = 3
\n" ); document.write( "y = 3/.25
\n" ); document.write( "y = 12 yrs old is Or
\n" ); document.write( ":
\n" ); document.write( "x = .75(12)
\n" ); document.write( "x = 9 yrs old is Ruf
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\n" ); document.write( "Check solutions using the statement:
\n" ); document.write( "\"Four years ago, Ruffy was 1 year more than 1/2 old as Orlie.\"
\n" ); document.write( " 5 = .5(8) + 1
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