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.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #485809 by ankor@dixie-net.com(22740)\"\" \"About 
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( "
\n" );