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The average (arithmetic mean) of a, b, c, d, e is 7. What is the average of a, b, c, d, e, f ?

It's almost always better to express the average in terms of the sum. Given: \(a+b+c+d+e=5*7\). Question: \(a+b+c+d+e+f=?\) --> \(5*7+f=?\) So basically we are asked to find the value of \(f\).

(1) The average of b, c, d, e, f is 9 --> \(b+c+d+e+f=5*9\). Not sufficient.

(2) The average of b, c, d, e is 11 --> \(b+c+d+e=4*11\). Not sufficient.

(1)+(2) Subtract (2) from (1): \(f=5*9-4*11=1\). Sufficient.

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