document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=587208>Question 587208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom's age is thrice as Alice's age.If the sum of their ages is 54, What is the age of tom and Alice? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374025 by </B><A HREF=/tutors/aboutme.mpl?userid=Schaman_Dempster><B>Schaman_Dempster(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Schaman_Dempster><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=Schaman_Dempster><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the ages of Tom and Alice be x and y respectively.\r<BR>\n" );
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document.write( "We know that Tom's age is thrice as Alice's age.<BR>\n" );
document.write( "So,  x = 3y     --------------- (1)\r<BR>\n" );
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document.write( "Also, we know that the sum of their ages is 54.<BR>\n" );
document.write( "Therefore, <BR>\n" );
document.write( "             x + y = 54<BR>\n" );
document.write( "or          3y + y = 54   { Using equation (1) }<BR>\n" );
document.write( "              4y = 54\r<BR>\n" );
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document.write( "           or   y = 54/4 = 13.5\r<BR>\n" );
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document.write( "Plugging back the value of y in equation (1), we get:<BR>\n" );
document.write( "    x = 3*13.5 = 40.5\r<BR>\n" );
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document.write( "Hence, Tom's age is 40.5 years and Alice's age is 13.5 years\r<BR>\n" );
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document.write( "Hope this helps~!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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