Question

If the average of a, b,c,d is the average of b and c, then the value of a – b – c + d is ___________.

Answer 1

Average of a, b, c, d = $\frac{a+b+c+d}{4}$

Average of b and c = $\frac{b+c}{2}$

It is given that,

Average of a, b, c, d = Average of b and c

$$\begin{gathered} \Rightarrow \frac{a+b+c+d}{4}=\frac{b+c}{2} \\ \Rightarrow a+b+c+d=2b+2c \\ \Rightarrow a+b+c+d-2b-2c=0 \\ \Rightarrow a-b-c+d=0 \end{gathered}$$

If the average of a, b, c, d is the average of b and c, then the value of a – b – c + d is _____0_____.