document.write( "Question 303960: Use te clue to find the secret two-digit number. The sum of the digits is 9. The product of the digits is 18. The number is between 40 and 90.
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document.write( "What is the number? \n" );
document.write( "
Algebra.Com's Answer #217789 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! The sum of the digits is 9. The product of the digits is 18. The number is between 40 and 90. \n" ); document.write( "What is the number? \n" ); document.write( ": \n" ); document.write( "Let 10x + y = the two digit number \n" ); document.write( ": \n" ); document.write( "\"The sum of the digits is 9.\" \n" ); document.write( "x + y = 9 \n" ); document.write( "y = (9-x) \n" ); document.write( ": \n" ); document.write( "The product of the digits is 18. \n" ); document.write( "x * y = 18 \n" ); document.write( "Replace y with (9-x) \n" ); document.write( "x(9-x) = 18 \n" ); document.write( "-x^2 + 9x = 18 \n" ); document.write( "-x^2 + 9x - 18 = 0 \n" ); document.write( "Multiply by -1 to change the signs \n" ); document.write( "x^2 - 9x + 18 = 0 \n" ); document.write( "Factors easily to \n" ); document.write( "(x-6)(x-3) = 0 \n" ); document.write( "x = 6, (no. is greater than 40) \n" ); document.write( "then \n" ); document.write( "y = 3 \n" ); document.write( ": \n" ); document.write( "The number is between 40 and 90. \n" ); document.write( "What is the number? It's 63 \n" ); document.write( " |