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What is the average (arithmetic mean) of w, x, y, z, and 10?

tagged by: M7MBA

What is the average (arithmetic mean) of w, x, y, z, and 10?

What is the average (arithmetic mean) of w, x, y, z, and 10?

(1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5
(2) -(-z - y -x - w) = 20

The OA is the option D.

How can I use statement (1) to get an answer here? Experts, may you help me? I'd be thankful.

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M7MBA wrote:
What is the average (arithmetic mean) of w, x, y, z, and 10?

(1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5
(2) -(-z - y -x - w) = 20

The OA is the option D.

How can I use statement (1) to get an answer here? Experts, may you help me? I'd be thankful.
We have to get the average (arithmetic mean) of w, x, y, z, and 10.

The average (arithmetic mean) of w, x, y, z, and 10 = (w + x + y + x + 10)/5.

If we get the value of (w + x + y + x), we get the answer.

Let's take each statement one by one.

(1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5.

=> (w + y)/2 = 7.5 => w + y = 15
=> (x + z)/2 = 2.5 => x + z = 5

=> w + x + y + x = 15 + 5 = 20. Unique answer. Sufficient.

(2) -(-z - y -x - w) = 20

=> z + y +x + w = 20. Unique answer. Sufficient.

Hope this helps!
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M7MBA wrote:
What is the average (arithmetic mean) of w, x, y, z, and 10?

(1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5
(2) -(-z - y -x - w) = 20

The OA is the option D.

How can I use statement (1) to get an answer here? Experts, may you help me? I'd be thankful.
We want to find out what (w + x + y + z + 10)/5 equals.

(1) tells us that (w + y)/2 = 7.5 or that w + y = 15, it also tells us that (x + z)/2 = 2.5 or that x + z = 5
Thus, we can use this to put into equation
(w + x + y + z + 10)/5
((x + z) + (w + y) + 10)/5
(5 + 15 + 10)/5
30/5
6

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