document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106801>Question 106801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This one boggles my mind!<BR>\n" );
document.write( "One number is 2 less than another.  If 9 times the smaller number minus 2 times the larger number is 52, find the two numbers.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77715 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=77715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's see if we can unboggle your mind.<BR>\n" );
document.write( "Let the smaller number be x and the larger number be y.<BR>\n" );
document.write( "x = y-2 \"One number is 2 less than another number\"<BR>\n" );
document.write( "9x-2y = 52 \"...9 times the smaller number minus 2 times the larger number is 52\"<BR>\n" );
document.write( "Substitute the x = y-2 into the second equation and solve for y.<BR>\n" );
document.write( "9(y-2)-2y = 52 Simplify.<BR>\n" );
document.write( "9y-18-2y = 52<BR>\n" );
document.write( "7y-18 = 52 Add 18 to both sides.<BR>\n" );
document.write( "7y = 70 Divide both sides by 7.<BR>\n" );
document.write( "y = 10 ...and<BR>\n" );
document.write( "x = y-2<BR>\n" );
document.write( "x = 10-2<BR>\n" );
document.write( "x = 8\r<BR>\n" );
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document.write( "The two numbers are: 8 and 10\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "x = y-2<BR>\n" );
document.write( "8 = 10-2<BR>\n" );
document.write( "8 = 8<BR>\n" );
document.write( "9x-2y = 52<BR>\n" );
document.write( "9(8)-2(10) = 52<BR>\n" );
document.write( "72 - 20 = 52<BR>\n" );
document.write( "52 = 52 </SPAN>\n" );
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