document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190940>Question 1190940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Linda's age is twice her sister's age. Difference between their ages is a perfect square number. If the difference in their age is between 5 years and 40 years, what is the difference between the highest and the lowest possible values of Linda's age? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822711 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Linda's age is twice her sister's age. <BR>\n" );
document.write( "Difference between their ages is a perfect square number. <BR>\n" );
document.write( "If the difference in their age is between 5 years and 40 years, <BR>\n" );
document.write( "what is the difference between the highest and the lowest possible values of Linda's age?<BR>\n" );
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document.write( "Let x be the sister's age.\r\n" );
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document.write( "Then the Linda's age is 2x, according to the problem.\r\n" );
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document.write( "The difference of their ages  2x-x = x  is the perfect square number between 5 and 40.\r\n" );
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document.write( "So, x is one of the numbers 9, 16, 25, 36.\r\n" );
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document.write( "Thus the minimum Landa's age is 2*9 = 18 years, and the maximum Linda's age is 2*36 = 72 years.\r\n" );
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document.write( "The difference between the highest and the lowest possible values of Linda's age is 72 - 18 = 54 years.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "This problem is presented as a Math problem, so, my major concern is to make it logically consistent.\r<BR>\n" );
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document.write( "I do not go in discussing whether it is realistic to have a difference of ages of 36 years between the sisters.\r<BR>\n" );
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