Question

The sum of four consecutive odd integers is 280 find the integers.

Answer 1

If our consecutive odd integers were 1, 3, 5, and 7, for example, and x represents the number 1, then x+2 would represent the number 3, x+4 would represent the number 5, and x+6 would represent the number 7. So the expressions for the integers need to be added together to equal 280. x+(x+2)+(x+4)+(x+6) = 280.  You don't really need the parenthesis but I put them there so you could see how the equation is set up using them. That simplifies down to 4x + 12 = 280.  Then 4x = 268 and x = 67.  67 is the smallest odd number of the bunch, then x+2=69, x+4=71, and x+6=73.  There you go!

Answer 2

280/4=70
70 is the average of the 2 middlemost odd integers.
67,69,71,73 is your answer.