document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653420>Question 653420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of Kate's age and her mother's age is 52. Kate's mother is 20 yrs older than Kate. How old is each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408388 by </B><A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><B>VirtualMathTutor(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><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=VirtualMathTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=408388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let Kate's age be K<BR>\n" );
document.write( "Let Kate's mother's age be M\r<BR>\n" );
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document.write( "The sum of Kate age and her mother's age is 52, so\r<BR>\n" );
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document.write( "K + M = 52\r<BR>\n" );
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document.write( "Kate's mother is 20 years older then Kate, so\r<BR>\n" );
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document.write( "M = 20 + K\r<BR>\n" );
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document.write( "How old is each person?\r<BR>\n" );
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document.write( "Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K\r<BR>\n" );
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document.write( "So, K + (20 + K) = 52\r<BR>\n" );
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document.write( "K + 20 + K = 52\r<BR>\n" );
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document.write( "2K + 20 = 52\r<BR>\n" );
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document.write( "Subtract 20 from both sides:\r<BR>\n" );
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document.write( "2K = 52 - 20\r<BR>\n" );
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document.write( "2K = 32\r<BR>\n" );
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document.write( "divide both sides by 2 to get\r<BR>\n" );
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document.write( "K = 16\r<BR>\n" );
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document.write( "Now we can find M, since M = 20 + K = 20 + 16 = 36\r<BR>\n" );
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document.write( "Kate is 16 years old and her mother is 36 years old. </SPAN>\n" );
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