document.write( "Question 5338: Two consecutive even numbers were multiplied. After 2 was added to each of the numbers, their product was increased by 136.\r
\n" ); document.write( "\n" ); document.write( "What are the 2 numbers?
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Algebra.Com's Answer #2775 by Abbey(339)\"\" \"About 
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Let x = the first consecutive number
\n" ); document.write( "Let x+2 = when two is added to the first consecutive number \r
\n" ); document.write( "\n" ); document.write( "Let x+2 = second even consecutive number
\n" ); document.write( "Let x+4 = when two is added to the second consecutive number\r
\n" ); document.write( "\n" ); document.write( "so when multiplied together:
\n" ); document.write( "\"x%2A%28x%2B2%29\" = \"x%5E2%2B2x\"\r
\n" ); document.write( "\n" ); document.write( "And when multiplied together AFTER 2 has been added to each:
\n" ); document.write( "\"%28x%2B2%29%2A%28x%2B4%29+=+%28x%5E2%2B6x%2B8%29\"\r
\n" ); document.write( "\n" ); document.write( "the second product is 136 greater than the first
\n" ); document.write( "\"x%5E2%2B6x%2B8=x%5E2%2B2x%2B136\"
\n" ); document.write( "Subtract \"x%5E2\" from both sides:
\n" ); document.write( "\"6x%2B8=2x%2B136\"
\n" ); document.write( "Subtract 2x from both sides:
\n" ); document.write( "\"4x%2B8=136\"
\n" ); document.write( "subtract 8 from both sides:
\n" ); document.write( "\"4x=128\"
\n" ); document.write( "Divide by 4
\n" ); document.write( "\"x=32\"\r
\n" ); document.write( "\n" ); document.write( "So the first number is 32, the second consecutive number is 34.\r
\n" ); document.write( "\n" ); document.write( "check your results:
\n" ); document.write( "32*34 = 1088
\n" ); document.write( "Add two to both numbers:
\n" ); document.write( "34*36 = 1224
\n" ); document.write( "1224-1088=136
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