document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242519>Question 242519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the largest 3 consecutive integers for which the first is increased by twice the second exceeds the third by less than 25. (have to solve algrebraically)\r<BR>\n" );
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document.write( "I do not know how to put \"exceeds\" in an equation.\r<BR>\n" );
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document.write( "Please give me the answer and a detailed explanation of it! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177961 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10559)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the largest 3 consecutive integers for which the first is increased by twice the second exceeds the third by less than 25. (have to solve algrebraically)\r<BR>\n" );
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document.write( "I do not know how to put \"exceeds\" in an equation.\r<BR>\n" );
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document.write( "Let the 1st of the 3 consecutive integer be F\r<BR>\n" );
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document.write( "Then the 2nd and 3rd integers are F + 1, and F + 2, respectively\r<BR>\n" );
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document.write( "Increasing the 1st by twice the second gives us F + 2(F + 1). Since this result exceeds the third by less than 25, it means that F + 2(F + 1) is greater than the 3rd integer, and when the 3rd integer, or F + 2 is subtracted from F + 2(F + 1), we should get a number that is less than 25. Therefore, putting this in mathematical terminology, we get:\r<BR>\n" );
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document.write( "F + 2(F + 1) - (F + 2) < 25\r<BR>\n" );
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document.write( "F + 2F + 2 - F - 2 < 25\r<BR>\n" );
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document.write( "2F < 25\r<BR>\n" );
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document.write( "Therefore, F, or the 1st number < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F2 ALIGN=MIDDLE  ALT=\"25%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or < 12.5\r<BR>\n" );
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document.write( "Since we're talking about INTEGERS, then the integer that is less than 12.5 is 12. Therefore, with F, or the 1st integer being 12, the 3 INTEGERS are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2812_13_and_14%29 ALIGN=MIDDLE  ALT=\"highlight_green%2812_13_and_14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  </SPAN>\n" );
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