document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67917>Question 67917</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395430526/algebrahomeworkh>Algebra:Structure and Method</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers differ by 20. If the larger number is divided by the smaller, the quotient is 2 and the remainder is 5. 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 #48295 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=48295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the first number be called \"a\", and the second \"b\".\r<BR>\n" );
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document.write( "from the question, we can tell that a-b=20............. eqn 1 \r<BR>\n" );
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document.write( "also from the question,\r<BR>\n" );
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document.write( "b goes into a 2 times, with 5 left over. This tells us: 2b+5=a.......... eqn 2\r<BR>\n" );
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document.write( "Now if we replace a in the first equation withe equation 2, we get\r<BR>\n" );
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document.write( "2b+5-b=20<BR>\n" );
document.write( "and rearranging:<BR>\n" );
document.write( "b+5=20<BR>\n" );
document.write( "b=15\r<BR>\n" );
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document.write( "Now we can replace the b in equation 2 with the number 15:<BR>\n" );
document.write( "2(15)+5=1<BR>\n" );
document.write( "30+5=a<BR>\n" );
document.write( "a=35 </SPAN>\n" );
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