document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56095>Question 56095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of 8 in the sum of 4 and a number is 112. What is the number? \r<BR>\n" );
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document.write( "The quotient of a number and 3 is the same as the difference of the number doubled and 5. What is the number?\r<BR>\n" );
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document.write( "The sum of three numbers is 69. If the second number is equal to the first diminished by 8, and the third number is 5 times the first, what are the 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 #38048 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=38048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The product of 8 in the sum of 4 and a number is 112. What is the number?<BR>\n" );
document.write( "8(4+x)=112<BR>\n" );
document.write( "32+8x=112<BR>\n" );
document.write( "8x=80<BR>\n" );
document.write( "x=10<BR>\n" );
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document.write( "The quotient of a number and 3 is the same as the difference of the number doubled and 5. What is the number?<BR>\n" );
document.write( "x/3 = 2x-5<BR>\n" );
document.write( "Multiply thru by 3 to get:<BR>\n" );
document.write( "x=2x^2-5x<BR>\n" );
document.write( "2x^2-6x=0<BR>\n" );
document.write( "2x(x-3)=0<BR>\n" );
document.write( "x=0 or x=3<BR>\n" );
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document.write( "The sum of three numbers is 69. If the second number is equal to the first diminished by 8, and the third number is 5 times the first, what are the numbers? <BR>\n" );
document.write( "Let the 1st be \"x\".<BR>\n" );
document.write( "The second is x-8<BR>\n" );
document.write( "The third is 5x<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x+x-8+5x=69<BR>\n" );
document.write( "7x-8=69<BR>\n" );
document.write( "7x=77<BR>\n" );
document.write( "x=11<BR>\n" );
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document.write( "1st=x=11<BR>\n" );
document.write( "2nd=x-8=11-8=3<BR>\n" );
document.write( "3rd=5x=55<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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