The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?
A. 2
B. 5
C. 8
D. Cannot be determined
Let the numbers x, x + 2, x + 4, x + 6 and x + 8
Then, [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)]5 = 61
or 5x + 20 = 305 => x = 57
So, required difference = (57 + 8) – 57 = 8