document.write( "Question 1186009: 1. The product of the ages, in years, of three teenagers is 4590. None of the teens are the same age. What are the ages of the teenagers?\r
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Algebra.Com's Answer #816878 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "The product of the ages, in years, of three teenagers is 4590. None of the teens are the same age.
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document.write( "They want you present the number 4590 as the product of three positive integer different numbers \r\n" );
document.write( "from the interval 13 to 19 inclusive.\r\n" );
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document.write( "Start finding prime divisors of the number 4590.\r\n" );
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document.write( "It is not so difficult as it may seem at the beginning.\r\n" );
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document.write( "First, there is a factor 10, which is the product of 2 and 5.\r\n" );
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document.write( "Divided by 10, the number 4590 gives the quotient 459.\r\n" );
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document.write( "The number 459 has the sum of the digits  4+5+9 = 18,  which is divisible by 9.\r\n" );
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document.write( "So, according to the divisibility by 9 rule, the number 459 is divisible by 9 = 3*3.\r\n" );
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document.write( "The quotient is 459/9 = 51.\r\n" );
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document.write( "Next, 51 = 17*3.\r\n" );
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document.write( "    |    Thus 4590 = 10 * 9 * 17*3 = 2*5*3^3*17.  |\r\n" );
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document.write( "17 is one of the targeted factors.\r\n" );
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document.write( "Next, it is obvious that the other targeted factor is 3*5 = 15.\r\n" );
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document.write( "The remaining factor is   = 18.\r\n" );
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document.write( "So, we just found the answer in this way: 4590 = 15*17*18.\r\n" );
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document.write( "CHECK.  15*17*18 = 4590.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Instructions, attached at the end of your post, only INTERFERE with solving the problem.\r
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\n" ); document.write( "\n" ); document.write( "The thoughts of a student, who solves a problem (any problem), should not be directed by any instructions:\r
\n" ); document.write( "\n" ); document.write( "they should flow / (fly) freely, without any restrictions.\r
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