document.write( "Question 652552: If 9 is subtracted from the sum of two consecutive even integers, the result is 3 more than the larger of the integers. Find the integer. \n" ); document.write( "

Algebra.Com's Answer #408012 by Shana-D77(132) $\"\"$ $\"About$

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let x = first, smaller, integer
\n" ); document.write( "let x + 1 = next, larger, consecutive integer (this is always true)\r
\n" ); document.write( "\n" ); document.write( "\"sum of two consecutive integers\":
\n" ); document.write( "x + (x + 1) or
\n" ); document.write( "2x + 1 simplified.\r
\n" ); document.write( "\n" ); document.write( "\"if 9 is subtracted from it...\"\r
\n" ); document.write( "\n" ); document.write( "2x + 1 - 9 or
\n" ); document.write( "2x - 8 simplified.\r
\n" ); document.write( "\n" ); document.write( "\"The result is(=) 3 more than the larger of the integers\"
\n" ); document.write( "= (x + 1) + 3\r
\n" ); document.write( "\n" ); document.write( "so,
\n" ); document.write( "2x - 8 = (x + 1) + 3
\n" ); document.write( "2x - 8 = x + 4
\n" ); document.write( "x - 8 = 4 (subtracted x from both sides)
\n" ); document.write( "x = 12 (added 8 to both sides)\r
\n" ); document.write( "\n" ); document.write( "If x = 12, then the next number is 13.\r
\n" ); document.write( "\n" ); document.write( "12, 13 \n" ); document.write( "

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