Question

The average of 5 consecutive odd numbers is 17. Find the largest number of the five.​

Answer 1

Answer:

The largest number is 21.

Step-by-step explanation:

Average of 5 consecutive odd numbers is 17.

Let the largest number be x.

$Average = \frac{Sum \: of \: numbers}{Number \: of\: numbers}\\17 = \frac{x + (x-2) + (x-4) + (x-6) + (x-8)}{5}\\17 \times 5 = 5x -20\\5x = 85+20 = 105\\x = \frac{105}{5}=21$