document.write( "Question 1101564: The sum of four consecutive even integers is1284 the greatest of them is \n" ); document.write( "
Algebra.Com's Answer #716172 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "It's a bit curious to me that the other tutor chose to call the numbers N-4, N-2, N, and N+2. Most students (and tutors) would probably use N, N+2, N+4, and N+6. \n" ); document.write( "It wouldn't make sense; but you could also represent them with N+30, N+32, N+34, and N+36, or any similar pattern. \n" ); document.write( "And in fact if you are going to choose how to represent the four numbers in a way that makes the arithmetic the easiest, you would represent them with N-3, N-1, N+1, and N+3. \n" ); document.write( "But there is a path to the solution that is faster than any of those choices. \n" ); document.write( "You know the sum of the four numbers is 1284, so the average is 1284/4 = 321. \n" ); document.write( "If the number 321 is the average of 4 consecutive even integers, then the integers are the two even numbers on each side of 321: 318, 320, 322, and 324. \n" ); document.write( " |