document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668666>Question 668666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of two consecutive integers, four times the lesser exceeds the three times the greater by 30. What are the integers?<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 #415763 by </B><A HREF=/tutors/aboutme.mpl?userid=amazingrace333><B>amazingrace333(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amazingrace333><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=amazingrace333><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by representing the two consecutive integers as x, and x+1<BR>\n" );
document.write( "Four times the lesser would be 4x.<BR>\n" );
document.write( "Three times the greater would be 3(x+1).<BR>\n" );
document.write( "Now what else do you know to solve this?...that 4x is 30 more than 3(x+1) or in equation format:<BR>\n" );
document.write( "4x = 30 + 3(x+1)<BR>\n" );
document.write( "Now simplify and solve as follows:<BR>\n" );
document.write( "4x = 30 + 3x +3<BR>\n" );
document.write( "4x = 33 + 3x<BR>\n" );
document.write( "4x - 3x = 33 + (3x - 3x)<BR>\n" );
document.write( "x = 33 <BR>\n" );
document.write( "Check your answer:<BR>\n" );
document.write( "4x = 4(33) = 132<BR>\n" );
document.write( "x+1 = 34<BR>\n" );
document.write( "3(34) = 102<BR>\n" );
document.write( "132 - 102 = 30<BR>\n" );
document.write( "So the correct integers are 33 and 34. </SPAN>\n" );
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