document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77846>Question 77846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Number problem. <BR>\n" );
document.write( "If one-half of one integer is subtracted from three-fifths of the<BR>\n" );
document.write( "next consecutive integer, the difference is 3. What are the two integers?\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55810 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=one integer<BR>\n" );
document.write( "Then x+1=next consecutive integer\r<BR>\n" );
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document.write( "Now here's what we are told:\r<BR>\n" );
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document.write( "(3/5)(x+1)-(1/2)x=3  multiply each term by 10 to get rid of the fractions\r<BR>\n" );
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document.write( "(3/5)(10)(x+1)-(1/2)(10)(x)=3(10)  simplify\r<BR>\n" );
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document.write( "6(x+1)-5x=30  get rid of parens\r<BR>\n" );
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document.write( "6x+6-5x=30  subtract 6 from both sides\r<BR>\n" );
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document.write( "6x+6-6-5x=30-6  collect like terms\r<BR>\n" );
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document.write( "x=24-------------------------------one integer<BR>\n" );
document.write( "x+1=24+1=25----------------------- next consecutive integer\r<BR>\n" );
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document.write( "ck<BR>\n" );
document.write( "(1/2) of one integer =(1/2)24=12\r<BR>\n" );
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document.write( "(3/5) of the next consecutive integer =(3/5)(25)=15\r<BR>\n" );
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document.write( "If you subtract the two, the difference is 3\r<BR>\n" );
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document.write( "So 15-12=3<BR>\n" );
document.write( "3=3\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor </SPAN>\n" );
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