The average of 5 consecutive odd numbers is 63. Which of the following is the largest number among them?

Correct option is C

Given:

Average of 5 consecutive odd numbers is 63

Formula Used:

Average = Sum of observations /Number of observations

Solution:

Let the consecutive odd numbers be$$x ,x+2,x+4,x+6,x+8$$​ respectively

Then total sum of numbers = $$x+x+2+x+4+x+6+x+8= 5x +20$$​​

Average of numbers = 63

Total of numbers = $$63 \times 5 = 315$$​​

So,

​$$5x+20 =315$$​​

​$$5x=315-20$$​​

​$$x=\frac{295}{5}$$​​

​$$x =59$$​​

Greatest number is$$x+ 8 = 59+8 = 67$$​​