document.write( "Question 571938: 4 years ago marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now \n" ); document.write( "

Algebra.Com's Answer #368246 by Maths68(1474) $\"\"$ $\"About$

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4 years ago marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now\r
\n" ); document.write( "\n" ); document.write( "Let
\n" ); document.write( "Present age of Marion = m
\n" ); document.write( "Present age of Les = l\r
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\n" ); document.write( "\n" ); document.write( "Marion is 3/4 as old as Les is
\n" ); document.write( "m=(3/4)(l)
\n" ); document.write( "m=3l/4.................................(1)\r
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\n" ); document.write( "\n" ); document.write( "4 years ago
\n" ); document.write( "Marion was = m-4
\n" ); document.write( "Les was = l-4
\n" ); document.write( "Then
\n" ); document.write( "(m-4)=2/3(l-4)
\n" ); document.write( "3(m-4)=2(l-4)
\n" ); document.write( "3m-12=2l-8
\n" ); document.write( "3m=2l-8+12
\n" ); document.write( "3m=2l+4................................(2)
\n" ); document.write( "Put the value of m from (1) to (2)
\n" ); document.write( "3m=2l+4
\n" ); document.write( "3(3l/4)=2l+4
\n" ); document.write( "9l/4=2l+4
\n" ); document.write( "9l=4(2l+4)
\n" ); document.write( "9l=8l+16
\n" ); document.write( "9l-8l=16
\n" ); document.write( "l=16
\n" ); document.write( "Put the value of l in (1)
\n" ); document.write( "m=3l/4.................................(1)
\n" ); document.write( "m=(3)(16)/4
\n" ); document.write( "m=(3)(4)
\n" ); document.write( "m=12\r
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\n" ); document.write( "\n" ); document.write( "Present age of Marion = m = 12 years old
\n" ); document.write( "Present age of Les = l = 16 years old\r
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