If the average of six consecutive odd natural numbers is 24, then what is the average of the four smaller numbers out of the six numbers?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 22.
Let the six consecutive odd numbers be: x − 5, x − 3, x − 1, x + 1, x + 3, x + 5
⇒ x - 5 + x - 3 + x - 1 + x + 1 + x + 3 + x + 5 = 24 × 6
⇒ 6x = 24 × 6
⇒ x = 24
The four smaller numbers = 19, 21, 23, 25
Average = = = 22