document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169685>Question 1169685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "Lara’s mother is 26 years older than her.  Six years ago she was three times as old as Lara.  Determine both Lara and her mother’s age now, using an algebraic equation. Show ALL steps!\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 #794477 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=794477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> age of lara's mother = x<BR>\n" );
document.write( "age of lara = y\r<BR>\n" );
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document.write( "lara's mother is 26 years older than lara.<BR>\n" );
document.write( "x = y + 36<BR>\n" );
document.write( "6 years ago, age of lara'a mother was 3 times age of lara.<BR>\n" );
document.write( "x - 6 = 3 * (y - 6)<BR>\n" );
document.write( "replace x in this equation with the equivalent value of y + 36 to get:<BR>\n" );
document.write( "y + 26 - 6 = 3 * (y - 6)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "y + 20 = 3y - 18<BR>\n" );
document.write( "add 18 to both sides of the equation and switch sides to get:<BR>\n" );
document.write( "3y = y + 38<BR>\n" );
document.write( "subtract y from both sides of the equation to get:<BR>\n" );
document.write( "2y = 38<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 19<BR>\n" );
document.write( "since x = y + 26, then:<BR>\n" );
document.write( "x = 45\r<BR>\n" );
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document.write( "you have:<BR>\n" );
document.write( "x = 45<BR>\n" );
document.write( "y = 19<BR>\n" );
document.write( "that should be your answer.<BR>\n" );
document.write( "confirm below.\r<BR>\n" );
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document.write( "age of lara's mother is 45 which is 26 years older than age of lara.<BR>\n" );
document.write( "since lara is 19, then 19 + 26 = 45.<BR>\n" );
document.write( "this confirms that lara's mother is 26 years older than lara.\r<BR>\n" );
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document.write( "6 years ago, lara was 13 and lara's mother was 39.<BR>\n" );
document.write( "39 is 3 * 13.<BR>\n" );
document.write( "this confirms that lara's mother was 3 times as old as lara 6 years ago.\r<BR>\n" );
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document.write( "solution is confirmed to be good.<BR>\n" );
document.write( "solution is:<BR>\n" );
document.write( "lara is 19<BR>\n" );
document.write( "lara's mother is 45.\r<BR>\n" );
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