Question

The sum of five consecutive odd numbers is 2020...............Find the greatest of the five numbers​

Answer 1

Answer:

The greatest of the five numbers is 408.

Step-by-step explanation:

The sum of odd number of odd numbers are always odd.  In the question, it is given that the sum is 2020, which is a even number.  Therefore, the five numbers must be even.

Let's assume that the smallest of the even numbers is x

Therefore, the other four in ascending order are: x + 2, x + 4, x + 6 and the greatest is x + 8.

According to the problem:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 2020

=> 5x + 20 = 2020

=>5x = 2020 - 20 = 2000

∴ x $=\frac{2000}{5} = 400$

∴ the greatest of the five numbers is (x + 8) = 400 + 8 = 408