document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594129>Question 594129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Grandmother has four grandchildren, two boys and two girls. When the ages of<BR>\n" );
document.write( "the grandchildren are multiplied together, the product of their ages is 67 184.<BR>\n" );
document.write( "Only one of the grandchildren is a teenager and the oldest grandchild is under<BR>\n" );
document.write( "40. The difference in ages between the oldest and youngest grandchild is thirty<BR>\n" );
document.write( "years.<BR>\n" );
document.write( "Determine the ages of Grandmother's grandchildren.\r<BR>\n" );
document.write( "\n" );
document.write( "What I have figured out so far is that the oldest grandchild will have an age between 31-39 and the youngest will be between 1-9 (since none of the ages can be zero-->this gives 0 as a product of all four ages). I believe that one of the other two remaining childrens' age is between 13-19. Is this information correct? How do I solve this word problem completely?<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376645 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Grandmother has four grandchildren, two boys and two girls.<BR>\n" );
document.write( " When the ages of the grandchildren are multiplied together, the product of their ages is 67 184.<BR>\n" );
document.write( "Only one of the grandchildren is a teenager and the oldest grandchild is under<BR>\n" );
document.write( "40.<BR>\n" );
document.write( " The difference in ages between the oldest and youngest grandchild is thirty<BR>\n" );
document.write( "years.<BR>\n" );
document.write( "Determine the ages of Grandmother's grandchildren.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Also for the youngest, a limited number of single digits will have an integer quotient. <BR>\n" );
document.write( "Assume the youngest is 8, and the oldest is 38<BR>\n" );
document.write( "67184/8 = 8398; 8398/38 = 221, not enough for one teenager and one over 20<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Try again, 6 doesn't give an integer, try 4<BR>\n" );
document.write( "67184/4 = 16796; 16796/34 = 494; looks promising<BR>\n" );
document.write( "Divide by some teenage numbers: 494/19 = 26, Bingo!<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Grand-kid ages: 4, 19, 26, 34;  check this 4*19*26*34 = 67184 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );