document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83463>Question 83463</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400329/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Sum of the present ages of Angie and her moether is 64 years. In eight years Angie will be three-fifths as old as her moether at that time. Find 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 #59971 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A = Angie's present age; M = Mom's present age<BR>\n" );
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document.write( "Write an equation for each sentence:<BR>\n" );
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document.write( "\"Sum of the present ages of Angie and her mother is 64 years.\"<BR>\n" );
document.write( "  A  +  M  = 64<BR>\n" );
document.write( "        A = 64 - M; use for substitution later<BR>\n" );
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document.write( " \"In eight years Angie will be three-fifths as old as her mother at that time.\" <BR>\n" );
document.write( "(A + 8) = .6(M + 8)<BR>\n" );
document.write( "A + 8 = .6M + 4.8<BR>\n" );
document.write( "A = .6M + 4.8 - 8<BR>\n" );
document.write( "A = .6M - 3.2<BR>\n" );
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document.write( "Find the present ages of Angie and her mother.<BR>\n" );
document.write( "Substitute (64-M) for A in the above equation:<BR>\n" );
document.write( "64 - M = .6M - 3.2<BR>\n" );
document.write( "-M - .6M = - 3.2 - 64<BR>\n" );
document.write( "-1.6M = -67.2<BR>\n" );
document.write( "M = -67.2/-1.6<BR>\n" );
document.write( "M = +42 yrs old <BR>\n" );
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document.write( "Find A: 64 - 42 = 22 yrs old<BR>\n" );
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document.write( "Check using the statement:<BR>\n" );
document.write( "\"In eight years Angie will be three-fifths as old as her mother at that time.\" <BR>\n" );
document.write( "(22 + 8) = .6(42 + 8)<BR>\n" );
document.write( " 30 = .6(50) proves our solutions<BR>\n" );
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document.write( " </SPAN>\n" );
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