The average of 7 consecutive integers is 7. What is the value of the greatest number in these?

Correct option is A

Given:

Average of seven consecutive numbers is 7

Formula Used:

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

Solution:

Let the consecutive numbers be $$x ,x+1,x+2,x+3,x+4,x+5,x+6$$​ respectively

Then total sum of numbers = $$x+x+1+x+2+x+3+x+4+x+5+x+6= 7x +21$$​​

Average of numbers = 7

Total of numbers = 7 × 7  = 49

So,

​$$7x+21 =49$$​​

​$$7x=49-21$$​​

​$$7x=28$$​​

​$$x =4$$​​

Greatest number is $$x+6 = 4+6 =10$$​​