document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074749>Question 1074749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kevin is twice as old as gabriela. 12years ago,kevin was 6times as old as gabriela.how old is gabriela now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689408 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=689408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> kevin is twice as old as gabriela.<BR>\n" );
document.write( "12 years ago, kevin was 6 times as old as gabriela.<BR>\n" );
document.write( "how old is gabriela today?\r<BR>\n" );
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document.write( "let k = kevin's age today.<BR>\n" );
document.write( "let b = gabriela's age today.\r<BR>\n" );
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document.write( "k = 2g\r<BR>\n" );
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document.write( "this means kevins age is two time gabriela's age today.\r<BR>\n" );
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document.write( "12 years ago, kevin was 6 times as old as gabriela was 12 years ago.\r<BR>\n" );
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document.write( "kevin's age 12 years ago was k - 12.<BR>\n" );
document.write( "gabriela's age 12 hears ago was g - 12.\r<BR>\n" );
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document.write( "(k - 12) = 6 * (g - 12)\r<BR>\n" );
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document.write( "this means that kevin's age 12 years ago was 6 times gabriela's age 12 years ago.\r<BR>\n" );
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document.write( "so, you have 2 equations.\r<BR>\n" );
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document.write( "k = 2g<BR>\n" );
document.write( "(k - 12) = 6 * (g - 12)\r<BR>\n" );
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document.write( "these 2 equations have to be solved simultaneously because the same answer has to apply to both equations and not just one of them.\r<BR>\n" );
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document.write( "since k = 2g from the first equation, then replace k in the second equation with 2g.\r<BR>\n" );
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document.write( "you get (2g - 12) = 6 * (g - 12)\r<BR>\n" );
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document.write( "now this equation can be solved for g.\r<BR>\n" );
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document.write( "simplify this equation to get 2g - 12 = 6g - 72\r<BR>\n" );
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document.write( "subtract 2g from both sides of the equation and add 72 to both sides of the equation to get 60 = 4g.\r<BR>\n" );
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document.write( "solve for g to get g = 60/4 = 15.\r<BR>\n" );
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document.write( "if g = 15, then k = 2g = 30.\r<BR>\n" );
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document.write( "your answer is that kevin is 30 years old today and gabriela is 15 years old today.\r<BR>\n" );
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document.write( "12 years ago, kevin would have been 30 - 12 = 18.<BR>\n" );
document.write( "12 years ago, gabriela would have been 15 - 12 = 3.\r<BR>\n" );
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document.write( "12 years ago kevin would have been 18 / 3 = 6 times as old as gabriela was 12 years ago.\r<BR>\n" );
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document.write( "this confirms the answer is correct because all the problem statements have been satisfied.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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