document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39764>Question 39764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sum of angie and her mother is 64 years. In 8 years angie will be (3/5) as old as her mother at that time. what are the present ages of angie and her mother? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25181 by </B><A HREF=/tutors/aboutme.mpl?userid=vidhyak><B>vidhyak(98)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vidhyak><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Angie's age be A and her mother's age be M\r<BR>\n" );
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document.write( "Sum of angie and her mother is 64 years\r<BR>\n" );
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document.write( "A + M = 64 ------eq 1\r<BR>\n" );
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document.write( "In 8 years angie will be (3/5) as old as her mother at that time. \r<BR>\n" );
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document.write( "(A + 8) = (3/5)(M + 8)\r<BR>\n" );
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document.write( "5(A  + 8) =  3(M + 8 )<BR>\n" );
document.write( "5A + 40 = 3M + 24<BR>\n" );
document.write( "5A - 3M = 24 - 40<BR>\n" );
document.write( "5A - 3M = -16  ------ eq 2\r<BR>\n" );
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document.write( "Multiple eq1 by 3 and add with eq 2 \r<BR>\n" );
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document.write( "3A + 3M = 192<BR>\n" );
document.write( "5A - 3M = -16<BR>\n" );
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document.write( "8A  =  176\r<BR>\n" );
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document.write( "A = 176/8  = 22\r<BR>\n" );
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document.write( "Substitute A = 22 in eq1\r<BR>\n" );
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document.write( "A + M = 64 <BR>\n" );
document.write( "22 + M = 64 <BR>\n" );
document.write( "M = 64 - 22<BR>\n" );
document.write( "M = 42\r<BR>\n" );
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document.write( "Angie's  age is 22 and her mother's age is 42 </SPAN>\n" );
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