document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102407>Question 102407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Census taker is asking Mrs. Smith<BR>\n" );
document.write( "ct: how old are your children?<BR>\n" );
document.write( "ms: I have no 1 year olds, the sum of their ages equals our house number, the product of their ages is 90<BR>\n" );
document.write( "ct: this is not enough information<BR>\n" );
document.write( "ms: you are right, the kid across the street is older than my oldest\r<BR>\n" );
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document.write( "How old are Mrs. Smith's children </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74403 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=74403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It appears as if you have left something out of this problem. As you wrote it, there are<BR>\n" );
document.write( "only three constraints:<BR>\n" );
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document.write( "(1) there are no 1 year olds<BR>\n" );
document.write( "(2) the sum of the children's ages is the house number and it is unknown<BR>\n" );
document.write( "(3) the product of the children's ages is 90<BR>\n" );
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document.write( "Here are possible solutions:<BR>\n" );
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document.write( "Solution 1 - Her children are 2, 3, 3 (3-year old twins), and 5. There is no 1-year old, the<BR>\n" );
document.write( "sum of their ages is 13 and that is the house number. And the product of 2 times 3 times 3 times 5<BR>\n" );
document.write( "is 90. All constraints are met.<BR>\n" );
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document.write( "Solution 2. Her children are 3, 5, and 6. There is no 1-year old. The sum of their ages is<BR>\n" );
document.write( "14 and that is the house number. And the product of 3 times 5 times 6 is 90. All the conditions<BR>\n" );
document.write( "are met by this answer also.<BR>\n" );
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document.write( "Solution 3. Her children are 3, 3, and 10 (again 3-yr old twins). There is no 1-yr old. The<BR>\n" );
document.write( "sum of their ages is 16 and that is the house number. And the product of 3 times 3 times 10 <BR>\n" );
document.write( "is 90. All the conditions are met by this answer also.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solution 4. Her children are 2 and 5 and 9. There is no 1-yr old. The sum of their ages<BR>\n" );
document.write( "is 16 and that is the house number. And the product of 2 times 5 times 9 is 90. So this<BR>\n" );
document.write( "set of children meets all the conditions for the answer.<BR>\n" );
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document.write( "There are more answer sets that meet the conditions required of the answer.<BR>\n" );
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document.write( "The fact that the kid across the street is older than her oldest has no bearing on the problem.<BR>\n" );
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document.write( "Did you leave something out???<BR>\n" );
document.write( ". </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );