document.write( "Question 1164026: There are three consecutive even integers such that the sum of twice the smallest, one less than the middle, and four more than the largest is -15. What are the three integers? and There are two consecutive integers such that four times the smaller plus three less than twice the larger is 71. What are the two integers? \n" ); document.write( "
Algebra.Com's Answer #788316 by ankor@dixie-net.com(22740)\"\" \"About 
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There are three consecutive even integers
\n" ); document.write( "a, (a+2), (a+4)
\n" ); document.write( " such that the sum of twice the smallest, one less than the middle, and four more than the largest is -15.
\n" ); document.write( "2a + (a+2-1) + (a+4+4) = -15
\n" ); document.write( "2a + a + 1 + a + 8 = -15
\n" ); document.write( "4a + 9 = -15
\n" ); document.write( "4a = - 15 - 9
\n" ); document.write( "4a = -24
\n" ); document.write( "a = -24/4
\n" ); document.write( "a = -6
\n" ); document.write( " What are the three integers?
\n" ); document.write( "-6, -4, -2
\n" ); document.write( ":
\n" ); document.write( "There are two consecutive integers
\n" ); document.write( "a. (a+1)
\n" ); document.write( " such that four times the smaller plus three less than twice the larger is 71.
\n" ); document.write( "4a + 2(a+1) -3 = 71
\n" ); document.write( "4a + 2a + 2 -3 = 71
\n" ); document.write( "6a - 1 = 71
\n" ); document.write( "6a = 71 + 1
\n" ); document.write( "a = 72/6
\n" ); document.write( "a = 12
\n" ); document.write( " What are the two integers?
\n" ); document.write( "12, 13
\n" ); document.write( ":
\n" ); document.write( "You should check these in the given statements to be sure they are correct!
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