document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626316>Question 626316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom Johnson is 1 year less than twice as old as his sister. If the sum of their ages is 14 years, then Tom's age is: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394553 by </B><A HREF=/tutors/aboutme.mpl?userid=mengayzkie><B>mengayzkie(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mengayzkie><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=394553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( " x = Tom's age<BR>\n" );
document.write( " y = sister's age\r<BR>\n" );
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document.write( "Tom Johnson is 1 year less than twice as old as his sister.<BR>\n" );
document.write( " x = 2y - 1  ==> equation 1\r<BR>\n" );
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document.write( "The sum of their ages is 14<BR>\n" );
document.write( " x + y = 14  ==> equation 2\r<BR>\n" );
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document.write( "Find:<BR>\n" );
document.write( "  Tom's age which is represented by x\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "  From equation 1; x = 2y - 1\r<BR>\n" );
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document.write( "  Substitute the value of x from equation 1 to equation 2<BR>\n" );
document.write( "  x + y = 14<BR>\n" );
document.write( " (2y - 1) + y = 14<BR>\n" );
document.write( " 3y - 1 = 14<BR>\n" );
document.write( " 3y = 14 + 1<BR>\n" );
document.write( " 3y = 15<BR>\n" );
document.write( "divide both sides by 3 giving us:<BR>\n" );
document.write( "  y = 5\r<BR>\n" );
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document.write( "therefore the age of tom's sister is 5yrs old\r<BR>\n" );
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document.write( "To compute for Tom's age. Use any of the two equations given.<BR>\n" );
document.write( "from equation 2:\r<BR>\n" );
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document.write( "  x + y = 14<BR>\n" );
document.write( " substitute y ( sister's age) to the equation<BR>\n" );
document.write( "  x + 5 = 14<BR>\n" );
document.write( "  x = 14 - 5<BR>\n" );
document.write( "  x = 9\r<BR>\n" );
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document.write( "Therefore Tom's age is 9 yrs old\r<BR>\n" );
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document.write( "Checking:\r<BR>\n" );
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document.write( "Use any of the equation 1 or 2 for checking.<BR>\n" );
document.write( "Use equation 1:<BR>\n" );
document.write( "  x = 2y -1<BR>\n" );
document.write( "substitute the value of x and y<BR>\n" );
document.write( "  9 = 2(5) - 1<BR>\n" );
document.write( "  9 = 10 - 1<BR>\n" );
document.write( "  9 = 9 ====>checked!<BR>\n" );
document.write( " </SPAN>\n" );
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