document.write( "Question 189628: The product of two consecutive positive even integers is 142 more than their sum. Which of these is one of the integers? \n" ); document.write( "

Algebra.Com's Answer #142358 by jonvaliente(64) $\"\"$ $\"About$

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Let x=a positive even integer
\n" ); document.write( "x+2=next even integer\r
\n" ); document.write( "\n" ); document.write( " $\"x%2A%28x%2B2%29=x%2B%28x%2B2%29%2B142\"$
\n" ); document.write( " $\"x%5E2%2B2x=2x%2B2%2B142\"$ \r
\n" ); document.write( "\n" ); document.write( "Subtracting 2x from both sides we get:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=144\"$ \r
\n" ); document.write( "\n" ); document.write( "Taking the square root of both sides, we get:\r
\n" ); document.write( "\n" ); document.write( "x=12 and/or x=-12\r
\n" ); document.write( "\n" ); document.write( "Since we're only looking for positive integers we take x=12,\r
\n" ); document.write( "\n" ); document.write( "x+2=12+2=14\r
\n" ); document.write( "\n" ); document.write( "So the 2 consecutive even integers are 12 and 14. \n" ); document.write( "

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