document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209777>Question 1209777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 01. Manalo is 28 yrs. older than Velasco. In 6years. Manalo will be three times as old as Velasco. How old is Manalo now?\r<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 #850385 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=850385\">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 Variables**\r<BR>\n" );
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document.write( "* Let M be Manalo's current age.<BR>\n" );
document.write( "* Let V be Velasco's current age.\r<BR>\n" );
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document.write( "**2. Translate the First Sentence into an Equation**\r<BR>\n" );
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document.write( "* \"Manalo is 28 years older than Velasco\": M = V + 28\r<BR>\n" );
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document.write( "**3. Translate the Second Sentence into an Equation**\r<BR>\n" );
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document.write( "* \"In 6 years\":<BR>\n" );
document.write( "    * Manalo's age will be M + 6.<BR>\n" );
document.write( "    * Velasco's age will be V + 6.<BR>\n" );
document.write( "* \"Manalo will be three times as old as Velasco\": M + 6 = 3(V + 6)\r<BR>\n" );
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document.write( "**4. Simplify the Second Equation**\r<BR>\n" );
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document.write( "* M + 6 = 3V + 18<BR>\n" );
document.write( "* M = 3V + 12\r<BR>\n" );
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document.write( "**5. Solve the System of Equations**\r<BR>\n" );
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document.write( "We have two equations:\r<BR>\n" );
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document.write( "* M = V + 28<BR>\n" );
document.write( "* M = 3V + 12\r<BR>\n" );
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document.write( "Since both equations equal M, we can set them equal to each other:\r<BR>\n" );
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document.write( "* V + 28 = 3V + 12<BR>\n" );
document.write( "* 28 - 12 = 3V - V<BR>\n" );
document.write( "* 16 = 2V<BR>\n" );
document.write( "* V = 8\r<BR>\n" );
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document.write( "Now, substitute V = 8 back into the first equation:\r<BR>\n" );
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document.write( "* M = 8 + 28<BR>\n" );
document.write( "* M = 36\r<BR>\n" );
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document.write( "**6. Answer the Question**\r<BR>\n" );
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document.write( "We are asked to find Manalo's current age, which is M.\r<BR>\n" );
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document.write( "**Therefore, Manalo is 36 years old.**<BR>\n" );
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