document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51350>Question 51350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not understand these type of questions!...\r<BR>\n" );
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document.write( "one number is 6 less than another. Three times the smaller is 2 more than twice the larger. Find the numbers.\r<BR>\n" );
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document.write( "Bill has twice as much money as Bob. Paul has $12 more than Bill. Togethere they have $92. How much money does Bob have?\r<BR>\n" );
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document.write( "Find two consectutive numbers that total 94. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34301 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=34301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is 6 less than another. Three times the smaller is 2 more than twice the larger. Find the numbers. <BR>\n" );
document.write( "Let the smaller number be y; the larger be x.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "1st: x-y=6<BR>\n" );
document.write( "2nd: 3y-2=2x<BR>\n" );
document.write( "Solving by substitution solve 1st by x: <BR>\n" );
document.write( "3rd: x=y+6<BR>\n" );
document.write( "Substitute into 2nd to get:<BR>\n" );
document.write( "3y-2=2(y+6)<BR>\n" );
document.write( "3y-2=2y+12<BR>\n" );
document.write( "y=14<BR>\n" );
document.write( "x=y+6=20<BR>\n" );
document.write( "SOLUTION: x=20; y=14\r<BR>\n" );
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document.write( "Bill has twice as much money as Bob. Paul has $12 more than Bill. Togethere they have $92. How much money does Bob have? \r<BR>\n" );
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document.write( "Let amount Bob has be \"x\" dollars.<BR>\n" );
document.write( "Then Bill has \"2x\" dollars.<BR>\n" );
document.write( "And Paul has \"2x+12\" dollars.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x+2x+2x+12=92 dollars<BR>\n" );
document.write( "4x=80<BR>\n" );
document.write( "x=20 Dollars (amount Bob has)<BR>\n" );
document.write( "2x=40 Dollars (amount Bill has)<BR>\n" );
document.write( "2x+12 Dollars (amount Paul has)<BR>\n" );
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document.write( "Find two consecutive numbers that total 94.<BR>\n" );
document.write( "Let one number be \"x\"<BR>\n" );
document.write( "The next consecutive number is \"x+1\"<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x+x+1=94<BR>\n" );
document.write( "2x+1=94<BR>\n" );
document.write( "2x=93<BR>\n" );
document.write( "x=46.5<BR>\n" );
document.write( "x+1=47.5<BR>\n" );
document.write( "These numbers do not satisfy the normal definition<BR>\n" );
document.write( "of \"consecutive numbers\".  Consecutive numbers implies<BR>\n" );
document.write( "that one is odd, the other is even.  An odd number <BR>\n" );
document.write( "added to an even number is always odd, so the sum<BR>\n" );
document.write( "could not be 94.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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