document.write( "Question 27537: The greater of two consecutive even integers is 6 less than three times the lesser. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #14996 by sdmmadam@yahoo.com(530) $\"\"$ $\"About$

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The greater of two consecutive even integers is 6 less than three times the lesser. Find the integers.
\n" ); document.write( "Consecutive even integers differ by 2
\n" ); document.write( "Let the required two consequtive even integers be a and a+2
\n" ); document.write( "The greater of a and (a+2) ia 6 less than 3 times the lesser.
\n" ); document.write( "That is (a+2)is 6 less than 3a
\n" ); document.write( "That is 3a - (a+2) = 6
\n" ); document.write( " 3a - a -2 = 6
\n" ); document.write( " (3a-a) = 6 +2
\n" ); document.write( " 2a = 8
\n" ); document.write( " a = 4
\n" ); document.write( "The required consecutive even numbers are 4 and 6
\n" ); document.write( "Verification:
\n" ); document.write( "The greater should be 6 less than 3times the smaller.
\n" ); document.write( "3 times the smaller is 3a = 12
\n" ); document.write( "And 6 is of course 6 less than 12
\n" ); document.write( "Hence our answer is right \n" ); document.write( "

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