document.write( "Question 59127: The sum of 3 consecutive even integers is 54. What is the first consecutive integer?
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Algebra.Com's Answer #40538 by funmath(2933) ![]() You can put this solution on YOUR website! The sum of 3 consecutive even integers is 54. What is the first consecutive integer? \n" ); document.write( "When we count by even numbers we are adding 2 \n" ); document.write( "2,4,6,8,10... \n" ); document.write( "2,2+2,4+2,6+2,8+2... \n" ); document.write( "Let the first even integer be:x \n" ); document.write( "Then the second even integer is:x+2 \n" ); document.write( "Then the third even integer is: x+2+2=x+4 \n" ); document.write( "Sum means + \n" ); document.write( "is means = \n" ); document.write( "(x)+(x+2)+(x+4)=54 \n" ); document.write( "3x+6=54 \n" ); document.write( "3x+6-6=54-6 \n" ); document.write( "3x=48 \n" ); document.write( "3x/3=48/3 \n" ); document.write( "x=16 \n" ); document.write( "They only asked for the first even integer so \n" ); document.write( "Check: \n" ); document.write( "The first integer is:x=16 \n" ); document.write( "the second integer is:x+2=16+2=18 \n" ); document.write( "the third integer is: x+4=16+4=20 \n" ); document.write( "Do they all add up to get 54? \n" ); document.write( "16+18+20=54 \n" ); document.write( "54=54 Looks like we're right!!! \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |