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If the average (arithmetic mean) of u w x,y and z is 12.3, a

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If the average (arithmetic mean) of u w x,y and z is 12.3, a [#permalink] New post 22 May 2017, 01:08
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85% (01:14) correct 14% (01:36) wrong based on 7 sessions



If the average (arithmetic mean) of v, w, x, y and z is 12.3, and the average of v and w is 45.6, what is the average of x, y, and z?

Enter your value

[Reveal] Spoiler: OA
-9.9

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Re: If the average (arithmetic mean) of u w x,y and z is 12.3, a [#permalink] New post 22 May 2017, 15:19
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Carcass wrote:



If the average (arithmetic mean) of v, w, x, y and z is 12.3, and the average of v and w is 45.6, what is the average of x, y, and z?

Enter your value

[Reveal] Spoiler: OA
-9.9


The average (arithmetic mean) of v, w, x, y and z is 12.3
So, (v + w + x + y + z)/5 = 12.3
Multiply both sides by 5 to get: v + w + x + y + z = 61.5

The average of v and w is 45.6
So, (v + w)/2 = 45.6
Multiply both sides by 2 to get: v + w = 91.2

What is the average of x, y, and z?
We need the sum of x, y, and z

We have two equations:
v + w + x + y + z = 61.5
v + w = 91.2

Subtract the bottom equation FROM the top equation to get: x + y + z = -29.7
Divide both sides by 3 to get: (x + y + z) = (-29.7)/3 = -9.9

Answer:
[Reveal] Spoiler:
-9.9


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Re: If the average (arithmetic mean) of u w x,y and z is 12.3, a   [#permalink] 22 May 2017, 15:19
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