The average of 5 consecutive numbers is 19. Find the largest of these numbers.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 21.
The average of 5 consecutive numbers = 19
Let the numbers are x, (x + 1), (x + 2), (x + 3), (x + 4)
So, [x + (x + 1) + (x + 2) + (x + 3) + (x + 4)]/5 = 19
⇒ (5x + 10)/5 = 19
⇒ x + 2 = 19
⇒ x = 19 - 2 = 17
So, (x + 4) = (17 + 4) = 21
Therefore, the largest of these numbers is 21.