document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=480799>Question 480799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man had a bag of sweets he gave one to his son and 1/7 of the remaining and what he was left he gave to his daughter two sweet and 1/7 of the remaining sweets.the two children found that they have same number of sweets how many sweets are there in original bag </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329221 by </B><A HREF=/tutors/aboutme.mpl?userid=mathstutor494><B>mathstutor494(120)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathstutor494><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=mathstutor494><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=329221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let there be \"x\" sweets in original bag\r<BR>\n" );
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document.write( "Gave 1 to son so remaining are x-1 sweets<BR>\n" );
document.write( "1/7 of remaining sweets = (x-1)*(1/7)=> (x-1)/7<BR>\n" );
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document.write( "Hence total sweets given to son<BR>\n" );
document.write( "1+((x-1)/7)<BR>\n" );
document.write( "(x+6)/7 ...............................(1)\r<BR>\n" );
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document.write( "Sweets remaining in the bag after giving to son<BR>\n" );
document.write( "x-((x+6)/7)<BR>\n" );
document.write( "(6x-6)/7\r<BR>\n" );
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document.write( "Out of this he gave 2 sweets to daughter so remaining sweets are<BR>\n" );
document.write( "((6x-6)/7)-2<BR>\n" );
document.write( "=(6x-20)/7\r<BR>\n" );
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document.write( "Further, he gave 1/7 from remaining lot to his daughter...<BR>\n" );
document.write( "((6x-20)/7)*(1/7)<BR>\n" );
document.write( "=(6x-20)/49\r<BR>\n" );
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document.write( "So total sweets with daughter<BR>\n" );
document.write( "((6x-20)/49)+2<BR>\n" );
document.write( "=(6x+78)/49 ..............................(2)\r<BR>\n" );
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document.write( "Since the problem specifies that the two children found that they have same number of sweets, so expressions (1) and (2) are equal.<BR>\n" );
document.write( "Accordingly\r<BR>\n" );
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document.write( "(x+6)/7 = (6x+78)/49 \r<BR>\n" );
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document.write( "Solving for x gives value of 36\r<BR>\n" );
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document.write( "Ans :  36 sweets there in original bag\r<BR>\n" );
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