document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212507>Question 212507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Loretta's age now is twice John's age five years ago.  In three years, the sum of John's and Loretta's ages will be 50.  How old are Loretta and John today?\r<BR>\n" );
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document.write( "Fred is closing a bank account and wants to distribute the money among his grandchildren by giving each of them $20.00  To do this, Fred, needs an additional $62.00.  Instead, he gave each grandchild $17.00 and had $7.00 left over.  How many grandchildren does Fred have?  How much money did he have in the bank account?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160485 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=160485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Loretta's age now is twice John's age five years ago.<BR>\n" );
document.write( " In three years, the sum of John's and Loretta's ages will be 50. <BR>\n" );
document.write( "How old are Loretta and John today?<BR>\n" );
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document.write( "Let L = Loretta's present age<BR>\n" );
document.write( "Let J = John's present age<BR>\n" );
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document.write( "\"Loretta's age now is twice John's age five years ago.\"<BR>\n" );
document.write( "L = 2(J - 5)<BR>\n" );
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document.write( "\"In three years, the sum of John's and Loretta's ages will be 50\":<BR>\n" );
document.write( "(L+3) + (J+3) = 50<BR>\n" );
document.write( "L + J + 6 = 50<BR>\n" );
document.write( "L + J = 50 - 6<BR>\n" );
document.write( "L + J = 44<BR>\n" );
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document.write( "Replace L with 2(J-5) in the above equation<BR>\n" );
document.write( "2(J-5) + J = 44<BR>\n" );
document.write( "2J - 10 + J = 44<BR>\n" );
document.write( "2J + J = 44 + 10<BR>\n" );
document.write( "3J = 54<BR>\n" );
document.write( "J = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F3 ALIGN=MIDDLE  ALT=\"54%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "J = 18 is John's present age<BR>\n" );
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document.write( "Find Loretta's age;<BR>\n" );
document.write( "L = 2(18 - 5)<BR>\n" );
document.write( "L = 2(13)<BR>\n" );
document.write( "L = 26 yrs<BR>\n" );
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document.write( "Check this in the statement:<BR>\n" );
document.write( "\"In three years, the sum of John's and Loretta's ages will be 50\":<BR>\n" );
document.write( "18 + 3 + 26 + 3 = <BR>\n" );
document.write( "21 + 29 = 50<BR>\n" );
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document.write( "Fred is closing a bank account and wants to distribute the money among his grandchildren by giving each of them $20.00 <BR>\n" );
document.write( "To do this, Fred, needs an additional $62.00. <BR>\n" );
document.write( "Instead, he gave each grandchild $17.00 and had $7.00 left over. <BR>\n" );
document.write( "How many grandchildren does Fred have? <BR>\n" );
document.write( "How much money did he have in the bank account?<BR>\n" );
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document.write( "Let n = no. of grandchildren<BR>\n" );
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document.write( "then from the given information, we can say:<BR>\n" );
document.write( "(17n + 7) = amt he actually had in the bank<BR>\n" );
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document.write( "and what he wanted to do:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817n+%2B+7+%2B+62%29%2Fn ALIGN=MIDDLE  ALT=\"%2817n+%2B+7+%2B+62%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817n+%2B+69%29%2Fn ALIGN=MIDDLE  ALT=\"%2817n+%2B+69%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20<BR>\n" );
document.write( "Multiply both side by n, results<BR>\n" );
document.write( "17n + 69 = 20n<BR>\n" );
document.write( "69 = 20n - 17n<BR>\n" );
document.write( "69 = 3n<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69%2F3 ALIGN=MIDDLE  ALT=\"69%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 23 grandchildren<BR>\n" );
document.write( "and<BR>\n" );
document.write( "17*23 + 7 = <BR>\n" );
document.write( "391 + 7 = $398, he actually had in the bank<BR>\n" );
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document.write( "Check solution using the $20 distribution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28398+%2B+62%29%2F23 ALIGN=MIDDLE  ALT=\"%28398+%2B+62%29%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=460%2F23 ALIGN=MIDDLE  ALT=\"460%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $20; confirms our solutions\r<BR>\n" );
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