document.write( "Question 936132: Find the product of three consecutive even integers whose sum is 42? \n" ); document.write( "

Algebra.Com's Answer #569575 by algebrahouse.com(1659) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = first integer
\n" ); document.write( "x + 2 = second consecutive even integer
\n" ); document.write( "x + 4 = third consecutive even integer {consecutive even integers increase by 2}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x + x + 2 + x + 4 = 42 {their sum is 42}
\n" ); document.write( "3x + 6 = 42 {combined like terms}
\n" ); document.write( "3x = 36 {subtracted 6 from each side}
\n" ); document.write( "x = 12 {divided each side by 3}
\n" ); document.write( "x + 2 = 14 {substituted 12, in for x, into x + 2}
\n" ); document.write( "x + 4 = 16 {substituted 12, in for x, into x + 4}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the three integers are 12, 14, and 16\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Their product
\n" ); document.write( "= 12 x 14 x 16 {product means multiply}
\n" ); document.write( "= 2688 {multiplied}
\n" ); document.write( "
For more help from me, visit: www.algebrahouse.com

\n" ); document.write( "

\n" );