Question

If the average of five consecutive odd numbers is 17, then what will be the highest number among them?

Options

• 19

• 21

• 23

• 25

Answer 1

21

Explanation:

GIVEN: The average of five consecutive odd numbers is 17.

CONCEPT: The difference between consecutive odd numbers is 2.

FORMULA USED: Average of numbers = (Sum of numbers / Total numbers)

CALCULATION: Let, highest odd number is x.

Sum of five consecutive odd numbers = x + x – 2 + x – 4 + x – 6 + x – 8

Average of numbers = (Sum of numbers / Total numbers)

⇒ 17 = (5x – 20)/5

⇒ 5x – 20 = 85

⇒ 5x = 105

⇒ x = 21

∴ The highest number is 21.