document.write( "Question 554877: The product of two consecutive even integers is 30 less than 15 times their sum. Find the two integers. \n" ); document.write( "
Algebra.Com's Answer #361665 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Two integers: x, (x+2)
\n" ); document.write( ":
\n" ); document.write( "The product of two consecutive even integers is 30 less than 15 times their sum.
\n" ); document.write( "x(x+2) = 15[x + (x+2)] - 30
\n" ); document.write( "x^2 + 2x = 15(2x + 2) - 30
\n" ); document.write( "x^2 + 2x = 30x + 30 - 30
\n" ); document.write( "x^2 = 30x - 2x
\n" ); document.write( "x^2 = 28x
\n" ); document.write( "Divide both sides by x
\n" ); document.write( "x = 28 and 30 are the two even integers
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "see if that works
\n" ); document.write( "28(30) = 15[28+30] - 30
\n" ); document.write( "840 = 15(58) - 30
\n" ); document.write( "840 = 870 - 30; confirms our our solution\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );