document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511656>Question 511656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Roy is three years older than his sister Mary. In 7 years she will be six-sevenths of his age. How old are they?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342344 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=342344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Roy is three years older than his sister Mary. In 7 years she will be six-sevenths of his age. How old are they?\r<BR>\n" );
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document.write( "Let<BR>\n" );
document.write( "Present age of Roy = r<BR>\n" );
document.write( "Present age of Mary = m\r<BR>\n" );
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document.write( "Roy is three years older than his sister Mary means if we add 3 years to present age of Mary both Roy and Mary will be of equal age\r<BR>\n" );
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document.write( "r=m+3...........(1)\r<BR>\n" );
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document.write( "In 7 years means we have add 7 in their present age\r<BR>\n" );
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document.write( "r+7=m+7\r<BR>\n" );
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document.write( "then she will be six-sevenths of his age\r<BR>\n" );
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document.write( "6/7(r+7)=(m+7)<BR>\n" );
document.write( "6(r+7)=7(m+7)<BR>\n" );
document.write( "6r+42=7m+49<BR>\n" );
document.write( "6r=7m+49-42<BR>\n" );
document.write( "6r-7m=7<BR>\n" );
document.write( "Put the value of r from (1) to above equation<BR>\n" );
document.write( "6(m+3)-7m=7<BR>\n" );
document.write( "6m+18-7m=7<BR>\n" );
document.write( "-m=7-18<BR>\n" );
document.write( "-m=-11<BR>\n" );
document.write( "Multiply by (-1) both sides<BR>\n" );
document.write( "m=11<BR>\n" );
document.write( "Put the valuel of m in (1)<BR>\n" );
document.write( "r=m+3...........(1)<BR>\n" );
document.write( "r=11+3<BR>\n" );
document.write( "r=14\r<BR>\n" );
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document.write( "Present age of Roy = r = 14<BR>\n" );
document.write( "Present age of Mary = m = 11\r<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "In 7 years Mary will be 6/7 of Roy\r<BR>\n" );
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document.write( "Mary=11+7=18<BR>\n" );
document.write( "Roy=14+7=21\r<BR>\n" );
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document.write( "Mary=6/7(Roy)<BR>\n" );
document.write( "Mary=6/7(21)<BR>\n" );
document.write( "Mary=6(3)<BR>\n" );
document.write( "Mary=18 </SPAN>\n" );
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