The average of five consecutive odd numbers is 21. What is the largest number out of these five numbers?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 25.
Let the five consecutive odd numbers be (x - 4), (x - 2), x, (x + 2), (x + 4)
We know that,
Average = Sum of observations/Number of observations
The average of these five numbers is 21
Sum of the numbers = 21 × 5 = 105
So,
⇒ (x - 4) + (x - 2) + x + (x + 2) + (x + 4) = 105
⇒ 5x = 105
⇒ x = 21
So,
The largest number = x + 4 = 21 + 4 = 25