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)![]() ![]() 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( " |