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 #749442 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "in 3 years angelo will be 3x as old as his sister Precy:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B3+=+3%28p%2B3%29 ALIGN=MIDDLE  ALT=\"a%2B3+=+3%28p%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B3+=+3p%2B9 ALIGN=MIDDLE  ALT=\"a%2B3+=+3p%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3p%2B6 ALIGN=MIDDLE  ALT=\"a+=+3p%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (1)<br><BR>\n" );
document.write( "a year ago angelo was 7 times as old as precy:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-1+=+7%28p-1%29 ALIGN=MIDDLE  ALT=\"a-1+=+7%28p-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-1+=+7p-7 ALIGN=MIDDLE  ALT=\"a-1+=+7p-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+7p-6 ALIGN=MIDDLE  ALT=\"a+=+7p-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (2)<br><BR>\n" );
document.write( "Set the two expressions for a equal to each other and solve for p:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%2B6+=+7p-6 ALIGN=MIDDLE  ALT=\"3p%2B6+=+7p-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+4p ALIGN=MIDDLE  ALT=\"12+=+4p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+3 ALIGN=MIDDLE  ALT=\"p+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Precy is 3 years old; 1 year ago he was 2.  1 year ago Angelo was 7 times as old as precy, so he was 14 1 year ago; so he is now 15.<br><BR>\n" );
document.write( "ANSWERS: Precy is 3; Angelo is 15.<br><BR>\n" );
document.write( "If this were a problem on a math competition test where the speed of solving is important, the problem can be solved much faster by logical trial and error.<br><BR>\n" );
document.write( "(1) Choose an age for Precy 1 year ago and make Angelo's age 7 times that number;<BR>\n" );
document.write( "(2) Add 4 years to each of those ages to get their ages 3 years from now and see if those ages have Angelo 3 times as old a Precy.<br><BR>\n" );
document.write( "Precy 1 year ago = 1; Angelo 1 year ago = 7; Precy 3 years from now 5, Angelo 3 years from now 11.  No; 11 is not 3 times 5.<br><BR>\n" );
document.write( "Precy 1 year ago = 2; Angelo 1 year ago = 14; Precy 3 years from now 6, Angelo3 years from now 18.  YES! 18 is 3 times 6.  Their ages 1 year ago were 2 and 14; their ages now are 3 and 15.<br><BR>\n" );
document.write( "That solution takes a long time to write out; but the mental calculations are quick and easy. </SPAN>\n" );
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