document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66860>Question 66860</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Five times sally's age now exceeds 3 times John's age by 30.  In 10 years, twice sally's age will exceed john's age by 26.  What will be their ages 13 years from now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47558 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let s = sally's age now; j = john's age now<BR>\n" );
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document.write( "Write an equation for each statement. just like it says:<BR>\n" );
document.write( "\"Five times sally's age now exceeds 3 times John's age by 30.\" <BR>\n" );
document.write( "5*s = (3*j) + 30<BR>\n" );
document.write( "or<BR>\n" );
document.write( "5s = 3j + 30<BR>\n" );
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document.write( "\"In 10 years, twice sally's age will exceed john's age by 26.\"<BR>\n" );
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document.write( "Their ages in 10 years would be (s+10) and (j+10), right?<BR>\n" );
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document.write( "A simple equation from this statement:<BR>\n" );
document.write( "2(s+10) = (j+10) + 26<BR>\n" );
document.write( "2s + 20 = j + 36<BR>\n" );
document.write( "2s + 20 - 36 = j<BR>\n" );
document.write( "2s - 16 = j<BR>\n" );
document.write( "Or<BR>\n" );
document.write( "j = (2s - 16)<BR>\n" );
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document.write( "Remember our 1st equation; 5s = 3j + 30. Substitute (2s-16) for j, find s<BR>\n" );
document.write( "5s = 3(2s-16) + 30<BR>\n" );
document.write( "5s = 6s - 48 + 30<BR>\n" );
document.write( "5s - 6s = 48 + 30<BR>\n" );
document.write( "-1s = -18<BR>\n" );
document.write( "s = 18 yrs is sally's age now<BR>\n" );
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document.write( "Find John's age now<BR>\n" );
document.write( "j = 2s - 16<BR>\n" );
document.write( "j = 2(18) - 16<BR>\n" );
document.write( "j = 36 - 16<BR>\n" );
document.write( "j = 20 yrs is john's age now<BR>\n" );
document.write( ";<BR>\n" );
document.write( " What will be their ages 13 years from now?<BR>\n" );
document.write( "Sally will be 31 and John will be 33\r<BR>\n" );
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document.write( "Check in the 2nd equation: 2(s+10) = (j+10) + 26<BR>\n" );
document.write( "2(18+10) = 20 + 10 + 26<BR>\n" );
document.write( "2(28) = 56<BR>\n" );
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document.write( "Did this make some sense to you? Any questions?  </SPAN>\n" );
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