document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80665>Question 80665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 33. The second is 7 less than 3 times the first. What are the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57836 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=57836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "The difference of two numbers is 33. The second is 7 less than 3 times the first. What are the two numbers?\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "Let us assume that one number is x.\r<BR>\n" );
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document.write( "Three times of x can be written as 3x.\r<BR>\n" );
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document.write( "7 less than 3 times the first can be written as 3x - 7.\r<BR>\n" );
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document.write( "Then we can take the other number as  3x - 7.\r<BR>\n" );
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document.write( "It is given that their difference is 33.\r<BR>\n" );
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document.write( "So we can write, first number -second number = 33\r<BR>\n" );
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document.write( "That is x - (3x-7) = 33\r<BR>\n" );
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document.write( "==> x - 3x + 7 = 33 ( remove the parenthesis by multiplying each term inside it with -1.)\r<BR>\n" );
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document.write( "==> -2x + 7 = 33. ( x - 3x = -2x)\r<BR>\n" );
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document.write( "Subtract 7 from both sides of the equation.  Then we have,\r<BR>\n" );
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document.write( "-2x + 7 - 7 = 33 - 7 \r<BR>\n" );
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document.write( "==> -2x = 26\r<BR>\n" );
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document.write( "Now divide both sides of the equation by -2.\r<BR>\n" );
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document.write( "==> -2x/-2 = 26/-2\r<BR>\n" );
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document.write( "==> x = -13.\r<BR>\n" );
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document.write( "So the first number is -13.\r<BR>\n" );
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document.write( "We have second number = 3x - 7\r<BR>\n" );
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document.write( "= 3(-13) - 7\r<BR>\n" );
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document.write( "= -39 - 7\r<BR>\n" );
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document.write( "= -46.\r<BR>\n" );
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document.write( "So the numbers are -13 and -46.\r<BR>\n" );
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document.write( "To check the answer....find the difference of these numbers.\r<BR>\n" );
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document.write( "That is -13 - (-46) = -13 + 46 = 33.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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