document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653424>Question 653424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The second of three numbers is 4 times the first number. The third number is 5 less than the second. If the first number is doubled and decreased by the third number, and the result is the same as 23 more than the second number, what are the three numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408393 by </B><A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><B>VirtualMathTutor(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><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=VirtualMathTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=408393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let f be first number<BR>\n" );
document.write( "let s be second number<BR>\n" );
document.write( "let t be third number\r<BR>\n" );
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document.write( "The second of three number is 4 times the first number:<BR>\n" );
document.write( "s = 4f\r<BR>\n" );
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document.write( "The third number is 5 less than the second:<BR>\n" );
document.write( "t = s - 5\r<BR>\n" );
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document.write( "If the first number is doubled and decreased by the third number and the result is the same as 23 more than the second number:<BR>\n" );
document.write( "2f - t = 23 + s\r<BR>\n" );
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document.write( "Now that we have 3 equations, we can solve for f, s, and t:\r<BR>\n" );
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document.write( "Input t = s - 5 into the third equation:\r<BR>\n" );
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document.write( "2f - (s - 5) = 23 + s\r<BR>\n" );
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document.write( "Now replace every s with 4f\r<BR>\n" );
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document.write( "2f - (4f - 5) = 23 + 4f\r<BR>\n" );
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document.write( "Simplify\r<BR>\n" );
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document.write( "2f - 4f + 5 = 23 + 4f<BR>\n" );
document.write( "-2f + 5 = 23 + 4f\r<BR>\n" );
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document.write( "subract 4f from both sides\r<BR>\n" );
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document.write( "-2f + 5 - 4f = 23\r<BR>\n" );
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document.write( "-6f + 5 = 23\r<BR>\n" );
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document.write( "subtract 5 from both sides\r<BR>\n" );
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document.write( "-6f = 18\r<BR>\n" );
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document.write( "divide both sides by -6:\r<BR>\n" );
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document.write( "f = -3\r<BR>\n" );
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document.write( "since s = 4f, then s = 4(-3) = -12\r<BR>\n" );
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document.write( "since t = s - 5, then t = -12 - 5 = -17 </SPAN>\n" );
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