document.write( "Question 1126866: The product of all the ages of the teenagers at a party was 2 971 987 200. The number of 18 year olds who attended the party? \n" ); document.write( "
Algebra.Com's Answer #743190 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "2 971 987 200 = \"2%5E8%2A3%5E9%2A5%5E2%2A7%5E2%2A13\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now you need to combine / (to distribute) the factors to get the product of natural numbers, each of which is between 13 and 18.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The only way to do it is THIS :\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "              = \"2%5E8%2A9%5E3%2A5%5E2%2A7%5E2%2A13\" = 13 * (7*2)^2 * (5*3)^2 * (9*2)^2 * (2^4) = 13*14*14*15*15*18*18*16.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  One is 13 years old;\r\n" );
document.write( "\r\n" );
document.write( "         2 of 14 years old;\r\n" );
document.write( "\r\n" );
document.write( "         2 of 15 years old;\r\n" );
document.write( "\r\n" );
document.write( "         2 of 18 years old;\r\n" );
document.write( "\r\n" );
document.write( "         1 of 16 years old.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   13 * 14*14* 15*15 * 18*18 * 16 = (my MS Excel) = 2 971 987 200.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "======================\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The tutor @greenestamps put this line in his post\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "    I think the other tutor completely missed the point of the problem....\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "If it relates to my post, then I do not understand the meaning of his remark.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My post came first.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It contains the complete and correct solution to the problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "@greenestamps saw my post and then repeated practically the same solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "After that, he states that I missed something . . . \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

@greneestamps, I sincerely ask you to edit your post IMMEDIATELY to avoid any misunderstanding.

.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It would be also right to bring your apologies.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );