document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548889>Question 548889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two numbers. the second number is 3 more than the first.the prouduct of the two numbers ia 9 more than teir sum. What are the two numbers?<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 #357294 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=357294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let y and x be the first and second numbers\r<BR>\n" );
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document.write( "The second number is 3 more than the first<BR>\n" );
document.write( "x=y+3..........(1)<BR>\n" );
document.write( "The product of the two numbers is 9 more than their sum<BR>\n" );
document.write( "xy=(x+y)+9......(2)<BR>\n" );
document.write( "Put the value of x from (1) to (2)<BR>\n" );
document.write( "(y+3)y=(y+3)+y)+9<BR>\n" );
document.write( "y^2+3y=y+3+y+9<BR>\n" );
document.write( "y^2+3y=2y+12<BR>\n" );
document.write( "y^2+3y-2y-12=0<BR>\n" );
document.write( "y^2+y-12=0<BR>\n" );
document.write( "y^2+4y-3y-12=0<BR>\n" );
document.write( "y^2+4y-3y-12=0<BR>\n" );
document.write( "y(y+4)-3(y-4)=0<BR>\n" );
document.write( "(y+4)(y-3)=0<BR>\n" );
document.write( "y+4=0 or y-3=0<BR>\n" );
document.write( "y=-4 or y=3<BR>\n" );
document.write( "Put y=3 in (1)<BR>\n" );
document.write( "x=y+3..........(1)<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "x=3+3<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "Put y=-4 in (1)<BR>\n" );
document.write( "x=(-4)+3<BR>\n" );
document.write( "x=-4+3<BR>\n" );
document.write( "x=-1\r<BR>\n" );
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document.write( "x,y=6,3 or x,y=-1,-4\r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "Put x,y=(6,3) in (1)<BR>\n" );
document.write( "x=y+3..........(1)<BR>\n" );
document.write( "6=3+3<BR>\n" );
document.write( "6=6<BR>\n" );
document.write( "Put x,y=(6,3) in (2)<BR>\n" );
document.write( "xy=(x+y)+9......(2)<BR>\n" );
document.write( "(6)(3)=(6+3)+9<BR>\n" );
document.write( "18=9+9<BR>\n" );
document.write( "18=18\r<BR>\n" );
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document.write( "Put x,y=(-1,-4) in (1)<BR>\n" );
document.write( "x=y+3..........(1)<BR>\n" );
document.write( "-1=-4+3..........(1)<BR>\n" );
document.write( "-1=-1<BR>\n" );
document.write( "Put x,y=(-1,-4) in (2)<BR>\n" );
document.write( "xy=(x+y)+9......(2)<BR>\n" );
document.write( "(-1)(-4)=(-1-4)+9<BR>\n" );
document.write( "4=-5+9<BR>\n" );
document.write( "4=4\r<BR>\n" );
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document.write( "Numbers are = 3,6 or -4,-1\r<BR>\n" );
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