document.write( "Question 806134: If two whole numbers have a sum of 18 and a product of 45, what are the numbers? (32) Place the numbers 1 through 9 in the cells so that the sum in each direction is 15.
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Algebra.Com's Answer #485809 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If two whole numbers have a sum of 18 and a product of 45, what are the numbers? \n" ); document.write( "two equations \n" ); document.write( "a + b = 18 \n" ); document.write( "b = (18-a) \n" ); document.write( "and \n" ); document.write( "a * b = 45 \n" ); document.write( "Replace b with (18-a) \n" ); document.write( "a*(18-a) = 45 \n" ); document.write( "18a - a^2 = 45 \n" ); document.write( "0 = a^2 - 18a + 45 \n" ); document.write( "Factors to \n" ); document.write( "(a-15)(a-3) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "a = 15, then b=3 \n" ); document.write( "and \n" ); document.write( "a = 3, then b=15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " (32) Place the numbers 1 through 9 in the cells so that the sum in each direction is 15. \n" ); document.write( "How about \n" ); document.write( " 1 8 6 \n" ); document.write( " 9 4 2 \n" ); document.write( " 5 3 7 \n" ); document.write( " |