document.write( "Question 891072: find four consecutive even integers such that the sum of the second integer and the fourth integer is one and a half times the sum of the first and third integer \n" ); document.write( "
Algebra.Com's Answer #539476 by JulietG(1812)\"\" \"About 
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B = A+2
\n" ); document.write( "C = A+4
\n" ); document.write( "D = A+6
\n" ); document.write( "where A is the smallest of the integers
\n" ); document.write( "B + D = 1.5(A + C)
\n" ); document.write( "Substitute the known values from the first equations into the last.
\n" ); document.write( "B+D = 1.5(A+C)
\n" ); document.write( "(A+2)+(A+6)=1.5(A+[A+4])
\n" ); document.write( "2A+8=1.5(2A+4)
\n" ); document.write( "Distribute
\n" ); document.write( "2A+8=3A+6
\n" ); document.write( "Subtract 6 from each side
\n" ); document.write( "2A+2=3A
\n" ); document.write( "Subtract 2A from each side
\n" ); document.write( "2=A
\n" ); document.write( ".
\n" ); document.write( "If A is 2, then B is 4, C is 6, and D is 8
\n" ); document.write( "Let's see if that works.
\n" ); document.write( "\"The sum of the second integer and the fourth integer is one and a half times the sum of the first and third integer.\"
\n" ); document.write( "4+8 = 1.5(2+6)
\n" ); document.write( "12=1.5(8)
\n" ); document.write( "12=12
\n" ); document.write( "Success! \n" ); document.write( "
\n" );