document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137143>Question 137143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> luis chooses a number between 1 and 200. if he divides his number by 10, the remainder is 9. if he divides his number by 8 the remainder is 7 and if he divides his number by 6 the remainder is 5. what is the number luis chose?\r<BR>\n" );
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document.write( "is there any way to solve this question besids guess and check<BR>\n" );
document.write( "thanks for any help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100339 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> luis chooses a number between 1 and 200. if he divides his number by 10, the remainder is 9. if he divides his number by 8 the remainder is 7 and if he divides his number by 6 the remainder is 5. what is the number luis chose?<BR>\n" );
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document.write( "Let the number be y where 1<y<200.<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "y = 10m + 9 where m is an integer.<BR>\n" );
document.write( "y = 8n + 7 where n is an integer<BR>\n" );
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document.write( "10m+9 = 8n+7<BR>\n" );
document.write( "10m-8n = -2<BR>\n" );
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document.write( "Examine integral multiples of 10 and integral multiples of 8<BR>\n" );
document.write( "till you find a difference of -2.<BR>\n" );
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document.write( "10m = 30 8n=32<BR>\n" );
document.write( "m=3 nd n=4<BR>\n" );
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document.write( "Therefore y = 10m+9 = 10*3 +9 = 39<BR>\n" );
document.write( "Checking: y = 8n+7 = 8*4 + 7 = 39<BR>\n" );
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document.write( "Luis chose the number 39<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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