document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80685>Question 80685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one number is 5 more than another number. Four times the larger number plus 3 times the smaller is 97. 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 #57843 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "one number is 5 more than another number. Four times the larger number plus 3 times the smaller is 97. Find the numbers.\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "Assume that one number is  = x\r<BR>\n" );
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document.write( "Then the other number is = x + 5\r<BR>\n" );
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document.write( "Here the larger number is x + 5\r<BR>\n" );
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document.write( "Four times the larger number is = 4(x+5)\r<BR>\n" );
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document.write( "Here the smaller number is = x\r<BR>\n" );
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document.write( "Three times the smaller number is = 3x\r<BR>\n" );
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document.write( "Four times the larger number plus 3 times the smaller is =  97\r<BR>\n" );
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document.write( "==> 4(x+5) + 3x = 97\r<BR>\n" );
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document.write( "==> 4x + 20 + 3x = 97\r<BR>\n" );
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document.write( "==> 4x+ 3x + 20 = 97\r<BR>\n" );
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document.write( "==> 7x + 20 = 97\r<BR>\n" );
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document.write( "subtract 20 from both sides of the equation\r<BR>\n" );
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document.write( "==> 7x + 20 - 20 = 97 -20\r<BR>\n" );
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document.write( "==> 7x = 77\r<BR>\n" );
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document.write( "Divide both sides of the equation by 7\r<BR>\n" );
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document.write( "==> 7x/7 = 77/7\r<BR>\n" );
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document.write( "==> x = 11.\r<BR>\n" );
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document.write( "So the first number is 11\r<BR>\n" );
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document.write( "Then the other number, which is 5 more than that of first = 11+ 5= 16\r<BR>\n" );
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document.write( "The second number is 16.\r<BR>\n" );
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document.write( "To check the answers....it is given that...Four times the larger number plus 3 times the smaller is 97\r<BR>\n" );
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document.write( "That is 4*16 + 3*11 = 64 + 33 = 97.\r<BR>\n" );
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document.write( "That is our answer is correct.\r<BR>\n" );
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document.write( "Hope you understood.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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