document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209779>Question 1209779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of quarter of what Elijah's age was 4 yrs ago and double of what it will be in 2 yrs is 66.\r<BR>\n" );
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document.write( "How old is Eliyah? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850383 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's solve this problem step-by-step.\r<BR>\n" );
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document.write( "**1. Define the Variable**\r<BR>\n" );
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document.write( "Let E be Elijah's current age.\r<BR>\n" );
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document.write( "**2. Translate the Word Problem into an Equation**\r<BR>\n" );
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document.write( "* \"4 years ago\": Elijah's age was E - 4<BR>\n" );
document.write( "* \"Quarter of what Elijah's age was 4 years ago\": (1/4)(E - 4)<BR>\n" );
document.write( "* \"2 years from now\": Elijah's age will be E + 2<BR>\n" );
document.write( "* \"Double of what it will be in 2 years\": 2(E + 2)<BR>\n" );
document.write( "* \"The sum of quarter of what Elijah's age was 4 years ago and double of what it will be in 2 years is 66\": (1/4)(E - 4) + 2(E + 2) = 66\r<BR>\n" );
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document.write( "**3. Solve the Equation**\r<BR>\n" );
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document.write( "* (1/4)(E - 4) + 2(E + 2) = 66<BR>\n" );
document.write( "* (E - 4)/4 + 2E + 4 = 66<BR>\n" );
document.write( "* Multiply the entire equation by 4 to eliminate the fraction:<BR>\n" );
document.write( "    * E - 4 + 8E + 16 = 264<BR>\n" );
document.write( "* Combine like terms:<BR>\n" );
document.write( "    * 9E + 12 = 264<BR>\n" );
document.write( "* Subtract 12 from both sides:<BR>\n" );
document.write( "    * 9E = 252<BR>\n" );
document.write( "* Divide both sides by 9:<BR>\n" );
document.write( "    * E = 28\r<BR>\n" );
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document.write( "**4. Check the Answer**\r<BR>\n" );
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document.write( "* 4 years ago, Elijah was 28 - 4 = 24. A quarter of that is 24/4 = 6.<BR>\n" );
document.write( "* In 2 years, Elijah will be 28 + 2 = 30. Double that is 30 * 2 = 60.<BR>\n" );
document.write( "* 6 + 60 = 66. The answer checks.\r<BR>\n" );
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document.write( "**Therefore, Elijah is 28 years old.**<BR>\n" );
document.write( " </SPAN>\n" );
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