document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948221>Question 948221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Mr. Alvarado is 20 years old older than his son. In  5 years, he will be 5 years more than twice as old as his  son will then be. Find their present ages.\r<BR>\n" );
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document.write( "2. The sum of the ages of Sam and Tomas is 27 years. Seven years ago, Tomas was three years more than one-fourth as old as Sam. Find their present ages.\r<BR>\n" );
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document.write( "3. Rosa is twice as old as pilar. In four years, Rosa's age will be 2 years less than pilar's age 3 years ago. Find their present ages.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578693 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Mr. Alvarado is 20 years old older than his son. In 5 years, he will be 5 years more than twice as old as his son will then be. Find their present ages.<BR>\n" );
document.write( "f = s + 20<BR>\n" );
document.write( "f+5 = 2s+5<BR>\n" );
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document.write( "Substitute for \"f\"::<BR>\n" );
document.write( "s+20+5 = 2s+5<BR>\n" );
document.write( "s = 20 years (son's age now)<BR>\n" );
document.write( "----------------\r<BR>\n" );
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document.write( " 2. The sum of the ages of Sam and Tomas is 27 years. Seven years ago, Tomas was three years more than one-fourth as old as Sam. Find their present ages.<BR>\n" );
document.write( "s + t = 27<BR>\n" );
document.write( "t-7 = (1/4)s + 3<BR>\n" );
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document.write( "Substitute for \"t\" and solve for \"s\"::<BR>\n" );
document.write( "27-s - 7 = (1/4)s + 3<BR>\n" );
document.write( "20-s = (1/4)s + 3<BR>\n" );
document.write( "(5/4)s = 17<BR>\n" );
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document.write( "s = 68/5<BR>\n" );
document.write( "s = 13 3/5 years (Sam's age now)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"t\"::<BR>\n" );
document.write( "t = 20-s<BR>\n" );
document.write( "t = 6 2/5 years (Tomas's age now)<BR>\n" );
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document.write( " 3. Rosa is twice as old as pilar. In four years, Rosa's age will be 2 years less than pilar's age 3 years ago. Find their present ages.<BR>\n" );
document.write( "r = 2p<BR>\n" );
document.write( "r+4 = p-3-2<BR>\n" );
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document.write( "Substitute for \"r\" and solve for \"p\"::<BR>\n" );
document.write( "2p+4 = p - 5<BR>\n" );
document.write( "p = -9<BR>\n" );
document.write( "Note: Pilar's age cannot be negative.<BR>\n" );
document.write( "Please check your problem statement.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "  </SPAN>\n" );
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