document.write( "Question 252725: find three consecutive even integers so that the largest is 2 times more than the smallest \n" ); document.write( "
Algebra.Com's Answer #184783 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! We need three consecutive even integers. We don't know what they are. Some examples are: \n" ); document.write( "2,4,6 ; 4,6,8 ; 6,8,10 and so on. \n" ); document.write( "-- \n" ); document.write( "Notice that the second number is 2 more than the first. \n" ); document.write( "Notice the third number is 4 more than the first. \n" ); document.write( "-- \n" ); document.write( "Since we don't know the first number, call is X. \n" ); document.write( "The second number is 2 more than this, it is X + 2. \n" ); document.write( "Third number is 4 more than this, it is X + 4. \n" ); document.write( "-- \n" ); document.write( "So, Three consecutive even integers can be expressed as: X, X+2, X+4. \n" ); document.write( "Two times the smallest is the largest means \n" ); document.write( "(i) 2X = X + 4, \n" ); document.write( "since the smallest was X and the largest was X + 4. \n" ); document.write( "subtract X from both sides to get \n" ); document.write( "X = 4. \n" ); document.write( "Now \n" ); document.write( "the first number was X. It is X = 4, \n" ); document.write( "the second number was X + 2, it is 4 + 2 = 6 \n" ); document.write( "the third number is X + 4, it is 4 + 4 = 8. \n" ); document.write( "The three numbers are 4 , 6, 8 \n" ); document.write( " |