document.write( "Question 1054364: Find the three numbers in an AP such that their sum is 27 and their product is 504 \n" ); document.write( "

Algebra.Com's Answer #669597 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Answer. a) 4, 9, 14. b) 14, 9, 4.\r
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\n" ); document.write( "\n" ); document.write( "You may think that there are only two conditions for three unknowns, so the answer is not uniquely defined.
\n" ); document.write( "But actually the third condition is that the numbers form AP, and it makes the answer an unique.\r
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document.write( "If the members of AP are {a-d), a and (a+d), where a is the middle term and d is the common difference,\r\n" );
document.write( "then 3a = 27 and a = 9.\r\n" );
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document.write( "Then (a-d)*(a+d) =  = 56.\r\n" );
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document.write( "Or, in other words,   = 56,  or   = 81-56 = 25.\r\n" );
document.write( "Then  d = +/- 5.\r\n" );
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