The average of five consecutive odd numbers is 51.What is the difference between the highest and lowest number?37811

The five consecutive odd numbers can be represented as (x-4), (x-2), x, (x+2), (x+4). The average of these numbers is given as 51.

Step 1: Set up the equation The average of numbers is the sum of the numbers divided by the count of numbers. So, we can set up the following equation: [(x-4) + (x-2) + x + (x+2) + (x+4)] / 5 = 51

Step 2: Simplify the equation 5x / 5 = 51 x = 51

So, the middle number is 51.

Step 3: Find the highest and lowest numbers The highest number in the series is (x+4) = 55 The lowest number in the series is (x-4) = 47

Step 4: Find the difference between the highest and lowest numbers The difference is 55 - 47 = 8

So, the difference between the highest and lowest number in the series is 8.