document.write( "Question 36287: the larger of two consecutive integers is 7 greater than twice the smaller. find the integers. make and solve an equation \n" ); document.write( "

Algebra.Com's Answer #22227 by vidhyak(98) $\"\"$ $\"About$

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The larger of two consecutive integers is 7 greater than twice the smaller. find the integers. make and solve an equation\r
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\n" ); document.write( "\n" ); document.write( "Let the smallest integer be x
\n" ); document.write( "Since the numbers are 2 consecutive integers, let the largest integer be x+1\r
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\n" ); document.write( "\n" ); document.write( "The larger of two integers is 7 greater than twice the smaller.
\n" ); document.write( "The equation is \r
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\n" ); document.write( "\n" ); document.write( "x + 1 = 2x + 7
\n" ); document.write( "x - 2x = 7 - 1
\n" ); document.write( "-x = 6
\n" ); document.write( " x = -6\r
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\n" ); document.write( "\n" ); document.write( "Since x is the smallest integer, - 6 is the smallest integer
\n" ); document.write( "Since x+1 is the largest integer, - 6+1 = -5 is the largest integer\r
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\n" ); document.write( "\n" ); document.write( "we can verify the answer
\n" ); document.write( "The larger of two integers is 7 greater than twice the smaller.\r
\n" ); document.write( "\n" ); document.write( "-5 = 2(-6)+7 \n" ); document.write( "

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