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If the average of a, b, c and d is the average of b and c, then which one of the following is necessarily true?

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If the average of a, b, c and d is the average of b and c, then which one of the following is necessarily true?
A. `a+d=b+c`
B. `a+b=c+d`
C. `a-d=b-c`
D. `(a+d)/(4)=(b+c)/(2)`
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Correct Answer - A
It is given that
`(a+b+c+d)/(4)=(b+c)/(2)rArr(a+d)/(4)=(b+c)/(4) rArr a+d=b+c`
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