document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637479>Question 637479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jack is married to Jill. their son, junior, asked each of them to reveal their ages. Juniors parents decided to tell him but in the form of a puzzle. Jack told Junior, \"If you reverse the digits in my age, you'll get your mothers age.\" <BR>\n" );
document.write( "Jill told her son, \"the sum of my age and your dad's age is equal to 11 times the difference in our ages\" <BR>\n" );
document.write( "\"Wait a minuet,\" said junior, \"I cant figure out your ages with just those two clues\" \r<BR>\n" );
document.write( "\n" );
document.write( "\"You're right\" said Jack \"Remember that I am older than you're mother.\" <BR>\n" );
document.write( "What are the ages of Jack and Jill? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401699 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=401699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let m = Mom's age = ab<BR>\n" );
document.write( "Let d = Dad's age = ba > ab<BR>\n" );
document.write( "Numerically  (assuming Dad < 100 years old)<BR>\n" );
document.write( "m = 10a + b<BR>\n" );
document.write( "d = 10b + a<BR>\n" );
document.write( "Then <BR>\n" );
document.write( "m + d = 10a + b + 10b +a = 11a + 11b = 11*(a+b)<BR>\n" );
document.write( "d - m = (10b + a) - (10a + b) = 9b - 9a = 9*(b - a)<BR>\n" );
document.write( "Since m+d = 11*(d-m) we have<BR>\n" );
document.write( "11*(a+b) = 11*9*(b-a) or<BR>\n" );
document.write( "(a+b) = 9*(b-a)<BR>\n" );
document.write( "This is satisfied when<BR>\n" );
document.write( "(a+b) = 9<BR>\n" );
document.write( "(b-a) = 1<BR>\n" );
document.write( "Solving this pair of equations for a and b yields<BR>\n" );
document.write( "a = 4<BR>\n" );
document.write( "b = 5<BR>\n" );
document.write( "Therefore the Dad is 54 and Mom is 45.<BR>\n" );
document.write( "Are they correct? Let's see.<BR>\n" );
document.write( "Is 45 the reverse of 54? Yes<BR>\n" );
document.write( "Is [(45+54) = 11*(54-45)]?<BR>\n" );
document.write( "Is [99 = 11*9]?<BR>\n" );
document.write( "Is [99=99]? Yes </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );