If the average of 5 consecutive numbers is 24, then the smallest number is:

Correct option is B

Given:

Average of five consecutive numbers =24

Formula Used:

​$$Average = \frac{Sum\ of\ observations}{Number\ of\ observations}$$​​

Solution:

Let the consecutive numbers be $$x ,x+1,x+2,x+3,x+4$$​ respectively

Then total sum of numbers =$$x+x+1+x+2+x+3+x+4= 5x +10$$​​

Average of numbers = 24

Total of numbers =$$5 \times 24 = 120$$​​

So,

​$$5x+10 =120$$​​

​$$5x=110$$​

​$$x=22$$​​

Smallest number is $$x =22$$​​