The average of six numbers is x. IF the average of three of these numbers is y and that of the remaining 3 is y, then which of the following is true?

2x = y+z

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2x = y+z

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y = \frac{x + z}{2}

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z = \frac{(x - y)}{2}

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None of the above

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Solution

The correct option is A 2x = y+z
Equating the sum of the numbers, $6 x = 3 y + 3 z \Rightarrow 2 x = y + z$

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