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?
Answer & explanation
Correct answer: option 1
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