document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16458>Question 16458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please answer the following word problem. This was an algebra problem on my 15 year old's homework tonight and although it is probably simple, my husband and I can not for the life of us help her figure it out.  Here it goes:\r<BR>\n" );
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document.write( "The difference of two numbers equals 33. If four times the lesser number is subtracted from three times the greater number, the difference is 62.  Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8026 by </B><A HREF=/tutors/aboutme.mpl?userid=pwac><B>pwac(253)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pwac><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=8026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is solved by linear system of equations.<BR>\n" );
document.write( "First find equations from information given<BR>\n" );
document.write( "Let n=the greater number and x= the lesser togive<BR>\n" );
document.write( "n-x=33-----(1) our other equation is:<BR>\n" );
document.write( "3n-4x=62---(2)<BR>\n" );
document.write( "if we re-arrange(1)<BR>\n" );
document.write( "n=33+x and substitute this value into (2)<BR>\n" );
document.write( "3(33+x)-4x=62 remove brackets by multiplying by the 3<BR>\n" );
document.write( "99+3x-4x=62<BR>\n" );
document.write( "99-x=62 subtract 99 from both sides<BR>\n" );
document.write( "-x=-37 multiply both sides by -1<BR>\n" );
document.write( "x=37 put this value of x into---(1) to get:<BR>\n" );
document.write( "n-37=33 add 37 to both sides<BR>\n" );
document.write( "n=70<BR>\n" );
document.write( "There are your two numbers 70 and 37<BR>\n" );
document.write( "Hope this helps<BR>\n" );
document.write( "Pete </SPAN>\n" );
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