document.write( "Question 259482: I am stuck on my Algebra question and i need help this is it... 'Find four consecutive integers such that the sum of the two greatest is 17 less than twice the sum of the two smallest.' \n" ); document.write( "

Algebra.Com's Answer #191003 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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'Find four consecutive integers
\n" ); document.write( "x, (x+1), (x+2), (x+3
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\n" ); document.write( "such that the sum of the two greatest is 17 less than twice the sum of the two smallest.'\r
\n" ); document.write( "\n" ); document.write( " x+2 + x+3 = 2(x + x+1) - 17
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\n" ); document.write( "2x + 5 = 2(2x + 1) - 17
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\n" ); document.write( "2x + 5 = 4x + 2 - 17
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\n" ); document.write( "2x + 5 = 4x - 15
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\n" ); document.write( "5 + 15 = 4x - 2x
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\n" ); document.write( "20 = 2x
\n" ); document.write( "x = $\"20%2F2\"$
\n" ); document.write( "x = 10, 11, 12, 13 are the 4 consecutive numbers
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\n" ); document.write( "Check solution:
\n" ); document.write( "13 + 12 = 2(11+10) - 17
\n" ); document.write( "25 = 2(21) - 17
\n" ); document.write( "25 = 42 - 17 \n" ); document.write( "

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