document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105442>Question 1105442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In three (3) years from now, Jenny’s grandfather will be six (6) times as old as Jenny was last<BR>\n" );
document.write( "year. Presently, the sum of Jenny’s age and her grandfather’s age is 68. How old will Jenny and her grandfather be ten (10) years from now?\r<BR>\n" );
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document.write( "Write an Algorithm for the above question. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720269 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=720269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> G = grandfather's age today.<BR>\n" );
document.write( "J = jennie's age today.\r<BR>\n" );
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document.write( "the sum of their ages is equal to 68.\r<BR>\n" );
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document.write( "G + J = 68\r<BR>\n" );
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document.write( "solve for G to get G = 68 - J\r<BR>\n" );
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document.write( "in 3 years jennie's grandfather will be 6 times as old as jennie was 1 year ago.\r<BR>\n" );
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document.write( "G + 3 = 6 * (J - 1)\r<BR>\n" );
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document.write( "subtract 3 from this equation to get G = 6 * (J - 1) - 3\r<BR>\n" );
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document.write( "distribute the multiplication to get G = 6 * J - 6 - 3\r<BR>\n" );
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document.write( "combine like terms to get G = 6 * J - 9\r<BR>\n" );
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document.write( "since G = 68 - J, replace G with 68 - J in this equation to get 68 - J = 6 * J - 9\r<BR>\n" );
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document.write( "add J to both sides of this equation and add 9 to both side of this equation to get 68 + 9 = 6 * J + J\r<BR>\n" );
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document.write( "combine like terms to get 77 = 7 * J\r<BR>\n" );
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document.write( "divide both sides of this equation by 7 to get 11 = J.\r<BR>\n" );
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document.write( "since G + J = 68 and J = 11, then G + 11 = 68.\r<BR>\n" );
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document.write( "solve for G to get G = 68 - 11 = 57\r<BR>\n" );
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document.write( "today, the grandfather is 57 and jennie is 11.\r<BR>\n" );
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document.write( "3 years from now, the grandfather will be 60.<BR>\n" );
document.write( "1 year ago jennie was 10.<BR>\n" );
document.write( "3 years from now, the grandfather sill be 6 * as old as jennie was 1 year ago.\r<BR>\n" );
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document.write( "the grandfather's age and jennie's age is currently 11 + 57 = 68\r<BR>\n" );
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document.write( "all the requirements of the problem have been satisfied, therefore the value of G and J are good.\r<BR>\n" );
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document.write( "you were asked what their ages will be 10 years from now.\r<BR>\n" );
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document.write( "10 years from now, the grandfather will be 57 + 10 = 67 and jennie will be 11 + 10 = 21.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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