Question

If 1/x+1/y=1/z and xy = z what is the average of x and y?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

If $\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$ , and, xy = z, then the average of x and y will be ¹/₂.

Step-by-step explanation:

Given that,
$\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$ and, xy = z
∴ $\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$
⇒ $\frac{y + x}{xy} = \frac{1}{z}$
⇒ $x + y= \frac{xy}{z}$
⇒ $x + y = 1$ [∵ xy = z (given)]

The average value of two or more quantities is the ratio of the summation of the individual quantities to the total number of quantities.

∴ average of x and y = $\frac{x+y}{2} = \frac{1}{2}$ [∵ x + y = 1]
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