document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156145>Question 1156145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Determine three consecutive numbers such that the sum of twice the smallest number, three<BR>\n" );
document.write( "times the middle number, plus the largest number is 53.\r<BR>\n" );
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document.write( "2.Mark is 6 years older than Stephanie. Two times Mark’s age is 8 less than 4 times Stephanie’s<BR>\n" );
document.write( "age. What are Mark and Stephanie’s ages?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778883 by </B><A HREF=/tutors/aboutme.mpl?userid=alanc><B>alanc(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alanc><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=alanc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=778883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.)<BR>\n" );
document.write( "Assign variables.<BR>\n" );
document.write( "Let the 3 consecutive numbers be:  a, b, c.\r<BR>\n" );
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document.write( "a < b < c\r<BR>\n" );
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document.write( "2a + 3b + c = 53<BR>\n" );
document.write( "also   consecutive means   b = a + 1,  c = a + 2\r<BR>\n" );
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document.write( "2a + 3*(a + 1) + (a + 2) = 53<BR>\n" );
document.write( "2a + 3a + 3 + a + 2 = 53<BR>\n" );
document.write( "6a + 5 = 53<BR>\n" );
document.write( "6a = 48<BR>\n" );
document.write( "a = 8,<BR>\n" );
document.write( "The consecutive numbers are 8, 9, and 10\r<BR>\n" );
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document.write( "2.)   M = 6 + S ,    2M = 4S - 8\r<BR>\n" );
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document.write( "or M = 2S - 4,     2S - 4 = 6 + S,     S = 6 + 4,   S = 10<BR>\n" );
document.write( "Then Mark is 6 + 10 = 16 years old<BR>\n" );
document.write( "Stephanie is 10 years old.<BR>\n" );
document.write( "Mark is 16 years old\r<BR>\n" );
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document.write( "3.)<BR>\n" );
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