document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523043>Question 523043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four times the larger of 2 numbers exceeds their sum by 25; four times the smaller number exceeds their difference by 1. What are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347175 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "Larger Number = x<BR>\n" );
document.write( "Smaller Number = y\r<BR>\n" );
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document.write( "4*(larger number)=(Sum of Numbers)+25<BR>\n" );
document.write( "4x=x+y+25<BR>\n" );
document.write( "4x-x-y=25<BR>\n" );
document.write( "3x-y=25...............(1)\r<BR>\n" );
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document.write( "4*(Smaller number)=(Difference of numbers)+1<BR>\n" );
document.write( "4y=x-y+1<BR>\n" );
document.write( "4y+y-x=1<BR>\n" );
document.write( "5y-x=1................(2)\r<BR>\n" );
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document.write( "Multiply (2) by 3 and add to (1)<BR>\n" );
document.write( "3x-y=25<BR>\n" );
document.write( "15y-3x=3<BR>\n" );
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document.write( "14y=28<BR>\n" );
document.write( "14y/14=28/14<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Put the value of y in (1)<BR>\n" );
document.write( "3x-y=25<BR>\n" );
document.write( "3x-2=25<BR>\n" );
document.write( "3x=25+2<BR>\n" );
document.write( "3x=27<BR>\n" );
document.write( "3x/3=27/3<BR>\n" );
document.write( "x=9\r<BR>\n" );
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document.write( "Larger Number = x = 9<BR>\n" );
document.write( "Smaller Number = y = 2\r<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "=====<BR>\n" );
document.write( "Sum of Numbers = x+y = 9+2 = 11<BR>\n" );
document.write( "4*(larger number)=(Sum of Numbers)+25<BR>\n" );
document.write( "4*9 = 11+25<BR>\n" );
document.write( "36=36\r<BR>\n" );
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document.write( "Difference of Numbers = x-y=9-2=7<BR>\n" );
document.write( "4*(Smaller number)=(Difference of numbers)+1<BR>\n" );
document.write( "4*2=7 + 1<BR>\n" );
document.write( "8=8\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );