document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262404>Question 262404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) Myrna is 27 years older than her son. A year ago, she was twice as old as him. How old is Myrna now?\r<BR>\n" );
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document.write( "2) The sum of two numbers is 574. One number is six times the other. Find the larger number.\r<BR>\n" );
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document.write( "3) The sum of two numbers is 56. Their difference is 22. Find the larger number.\r<BR>\n" );
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document.write( "4) The sum of two numbers is 1457. Four times the first number minus twice the second number is 8. Find the larger number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193324 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=193324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Myrna is 27 years older than her son. A year ago, she was twice as old as him. How old is Myrna now? <BR>\n" );
document.write( "answer - - > <BR>\n" );
document.write( "M = S + 27<BR>\n" );
document.write( "M-1 = 2*(S-1)<BR>\n" );
document.write( "S+27-1 = 2S - 2<BR>\n" );
document.write( "S + 26 = 2S - 2<BR>\n" );
document.write( "28 = S<BR>\n" );
document.write( "M = 55<BR>\n" );
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document.write( "2) The sum of two numbers is 574. One number is six times the other. Find the larger number. <BR>\n" );
document.write( "Answer --><BR>\n" );
document.write( "x + y = 574<BR>\n" );
document.write( "x = 6y<BR>\n" );
document.write( "6y + y = 574<BR>\n" );
document.write( "7y = 574<BR>\n" );
document.write( "y = 82<BR>\n" );
document.write( "x = 492<BR>\n" );
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document.write( "3) The sum of two numbers is 56. Their difference is 22. Find the larger number. <BR>\n" );
document.write( "answer - - ><BR>\n" );
document.write( "x + y = 56<BR>\n" );
document.write( "x - y = 32<BR>\n" );
document.write( "add down to get<BR>\n" );
document.write( "2x = 88<BR>\n" );
document.write( "x = 44<BR>\n" );
document.write( "y = 12<BR>\n" );
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document.write( "4) The sum of two numbers is 1457. Four times the first number minus twice the second number is 8. Find the larger number.<BR>\n" );
document.write( "answer -- ><BR>\n" );
document.write( "x + y = 1457<BR>\n" );
document.write( "4x - 2y = 8<BR>\n" );
document.write( "multiply first equation by 2 to get<BR>\n" );
document.write( "2x - 2y = 2914<BR>\n" );
document.write( "add second and third to get<BR>\n" );
document.write( "6x = 2922<BR>\n" );
document.write( "divide to get<BR>\n" );
document.write( "x = 487<BR>\n" );
document.write( "y = 970 </SPAN>\n" );
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