Question

Consider the dates of a week as

1

2

3

4

5

6

7

If the sum of these dates is S, then the value of $\frac{S}{7}$ is .

• A. 28
• B. 7
• C. 4
• D. 14

Answer 1

The correct option is C 4

The seven dates in a week can be written in a general form as

$x-3$

$x-2$

$x-1$

$x$

$x+1$

$x+2$

$x+3$

Adding all the dates we get
$(x-3)+(x-2)+(x-1)+x+(x+1)+(x+2)+(x+3)=7x$

According to the data provided,
$S=7x\Rightarrow \frac{S}{7}=\frac{7x}{7}\Rightarrow \frac{S}{7}=x$

Therefore, the value of $\frac{S}{7}$ is 4 in this case.