document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109206>Question 1109206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a number is one less than twice another number,and the difference between their squares is 85. find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724225 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The statement of the problem implies that the numbers are whole numbers.  So solving the problem requires less work if you look for numbers for which the difference of the squares is 85 and find such a pair with one of the numbers being 1 less than twice the other.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-b%5E2+=+85 ALIGN=MIDDLE  ALT=\"a%5E2-b%5E2+=+85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%28a-b%29+=+85 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%28a-b%29+=+85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "There are two possibilities in whole numbers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=85 ALIGN=MIDDLE  ALT=\"a%2Bb=85\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-b=1 ALIGN=MIDDLE  ALT=\"a-b=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> (a,b) = (43,42)  no....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=17 ALIGN=MIDDLE  ALT=\"a%2Bb=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-b=5 ALIGN=MIDDLE  ALT=\"a-b=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> (a,b) = (11,6)  YES!!! </SPAN>\n" );
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