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algebra intermediate

Problem

The arithmetic mean between

\frac{x + a}{x}

and

\frac{x - a}{x}

, when

x \neq = 0

, is:

(A)

2, if a \neq = 0

(B)

1

(C)

1, only if a = 0

(D)

\frac{a}{x}

Solution

We have

\frac{1}{2} \cdot (\frac{x + a}{x} + \frac{x - a}{x}) = \frac{2}{2} = 1

.

Final answer

B