document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132373>Question 1132373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in 3 years angelo will be 3x as old as his sister Precy, a year ago angelo was 7 times as old as precy how old are they now </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749435 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a equal the age of angelo totday.<BR>\n" );
document.write( "let p equal the ager of precy today.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in 3 years angelo will be 3 times as old as precy.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "equation for that is a + 3 = 3 * (p + 3).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a year ago angelo was 7 times as old as precy.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "equation for that is a - 1 = 7 * (p - 1).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have two equations that need to be solved simultaneously.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a + 3 = 3 * (p + 3)<BR>\n" );
document.write( "a - 1 = 7 * (p - 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify both equations to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a + 3 = 3 * p + 9<BR>\n" );
document.write( "a - 1 = 7 * p - 7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "place the variables on the let side of the equal sign and the constants on the right side of the equal sign to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a - 3 * p = 9 - 3<BR>\n" );
document.write( "a - 7 * p = -7 + 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms in both equations to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a - 3 * p = 6<BR>\n" );
document.write( "a - 7 * p = -6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract the second equation from the first to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4 * p = 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for p to get p = 12 / 4 = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's precy's age today.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "replace p with 3 in either of the original equations as shown below.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the two original equations are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a + 3 = 3 * (p + 3)<BR>\n" );
document.write( "a - 1 = 7 * (p - 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the first equation becomes a + 3 = 3 * 6 which a + 3 = 18 which becomes a = 15.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the second equation becomes a - 1 = 7 * 2 which becomes a - 1 = 14 which becomes a = 15.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's the age of angelo today.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a = 15<BR>\n" );
document.write( "p = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in 3 years, a = 18 and p = 6 which makes a = 3 times p.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "one year ago, a was 14 and p was 2 which made a = 7 times p.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution looks good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "angelo is 15 years old and precy is 3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );