The average of four consecutive odd numbers is 8. If the next odd number is also considered, then what will be the new average of these five numbers?

9

Let 4 consecutive off number is = x , x + 2 , x + 4 , x + 6

Sum of 4 consecutive odd number is ,

x + x + 2 + x + 4 + x + 6 = 4 × 8 = 32

4x + 12 = 32

4x = 20 , x = 5

So , 4 odd numbers are 5 , 7 , 9 , 11

Next odd number is 13

Sum of These 5 odd number = 32 + 13 = 45

Average = \(\frac{45}{5}\) = 9