Question

If the average of five consecutive even numbers is 28. What will be the smallest of these numbers?

Answer 1

Answer:

24 is the smallest number.

Step-by-step explanation:

Average:

• The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average.
• The average formula has numerous practical uses.
• If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.

Formula of Average:

• Finding the average of a set of numbers or values is a simple mathematical calculation. Simply sum up all the numbers, then divide the total by the number of values provided.
• Consequently, the following is the math average formula:
• Average is calculated by dividing the number of items by the sum of the values.

Let the five consecutive even numbers are

    x, x+2, x+4, x+6 and x+8

Given average of five numbers = 28

             (x+x+2+x+4+x+6+x+8)/5 = 28

                                    (5x+20)/5 = 28

                                     [5(x+4)]/5 = 28

                                               x+4 = 28

                                                   x = 28-4

                                                   x = 24

        Substitute x = 24 in the five numbers

                  x = 24

               x+2 = 24+2 = 26

               x+4 = 24+4 = 28

               x+6 = 24+6 = 30

               x+8 = 24+8 = 32

        Among the five numbers, 24 is the smallest number.

           Hence, 24 is the smallest number.

Know more about Arithmetic mean:

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