document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061082>Question 1061082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, We are trying to follow this equation and solution.   Any help to show the work would be great thanks \r<BR>\n" );
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document.write( "Juan is 2 years older than Sylvia.  Four years ago, Sylvia was 5/6th of Juan's age.  How old are both now?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675904 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> J = S+2 or we can state it as S = J-2. Next we'll use J-2 for S.<BR>\n" );
document.write( "S-4 = 5/6(J-4) remember, 4 year ago they were BOTH 4 yrs younger<BR>\n" );
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document.write( "Substitute for S and distribute 5/6 on right (distributive property of multiplication 2(2+3) is the same as 4+6)<BR>\n" );
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document.write( "J-2-4 = 5/6J-20/6 add/subtract on left and simplify the fraction, divide up/down by 2:<BR>\n" );
document.write( "J-6 = 5/6J-10/3 now it's just algebra from here on:<BR>\n" );
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document.write( "J-6+10/3 = 5/6J add on left. Any number can be turned into a fraction, every number is divisible by itself and by 1: -6/1+10/3 multiply -6/1 times 3/3 to get a common denominator: -18/3+10/3 = -8/3`<BR>\n" );
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document.write( "Now we have:`<BR>\n" );
document.write( "J-8/3 = 5/6J<BR>\n" );
document.write( "J = 5/6J+8/3<BR>\n" );
document.write( "J-5/6J = 8/3<BR>\n" );
document.write( "OK, now subtract 5/6 J from J. J is just 1 J and like we said, we can turn it into a fraction like this: 1/1<BR>\n" );
document.write( "So: 1/1-5/6 = 6/6-5/6 = 1/6<BR>\n" );
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document.write( "And now we have:`<BR>\n" );
document.write( "1/6J = 8/3 divide both sides by 1/6<BR>\n" );
document.write( "J = 8/3*6/1 = 48/3 = 16/1 or just 16<BR>\n" );
document.write( "Juan is 16. And Sylvia is 16-2 = 14<BR>\n" );
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document.write( "Check, 4 years ago<BR>\n" );
document.write( "J = 16-4 = 12<BR>\n" );
document.write( "S = 14-4 = 10<BR>\n" );
document.write( "Sylvia was 5/6 of J's age (5/6 of 12)<BR>\n" );
document.write( "12*5/6 = 60/6 = 10 Sylvia was 10 - Correct<BR>\n" );
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document.write( "Lots of typing, here's hoping it helps.<BR>\n" );
document.write( "John\r<BR>\n" );
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