document.write( "Question 225335: the sum of two consecutive even integers is 78. find the larger number \n" ); document.write( "

Algebra.Com's Answer #168159 by LtAurora(115) $\"\"$ $\"About$

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For two consecutive even integers, the first integer is represented by x, and the second by x+2.
\n" ); document.write( "Thus, we can write:
\n" ); document.write( " $\"x%2Bx%2B2=78\"$ .
\n" ); document.write( "Combine like terms:
\n" ); document.write( " $\"2x%2B2=78\"$
\n" ); document.write( "Move the 2 over:
\n" ); document.write( " $\"2x=76\"$
\n" ); document.write( "Divide both sides by 2:
\n" ); document.write( " $\"x=38\"$
\n" ); document.write( "This is the first of the two integers. The second one is found by $\"x%2B2\"$
\n" ); document.write( "So, $\"38%2B2=40\"$ , which is the larger of the two integers. \n" ); document.write( "

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