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# If the average of three numbers is V. If one of the numbers is Z and

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Math Expert
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If the average of three numbers is V. If one of the numbers is Z and [#permalink]

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05 Oct 2017, 05:24
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Difficulty:

15% (low)

Question Stats:

98% (00:26) correct 2% (00:30) wrong based on 47 sessions

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If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?

A. ZY - V
B. Z/V – 3 - Y
C. Z/3 – V - Y
D. 3V - Z - Y
E. V - Z – Y
[Reveal] Spoiler: OA

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Re: If the average of three numbers is V. If one of the numbers is Z and [#permalink]

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05 Oct 2017, 06:39
Bunuel wrote:
If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?

A. ZY - V
B. Z/V – 3 - Y
C. Z/3 – V - Y
D. 3V - Z - Y
E. V - Z – Y

Sum of three numbers will be = 3V
Hence the third no will be = 3V-(Z+Y)=3V-Z-Y

Option D
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Re: If the average of three numbers is V. If one of the numbers is Z and [#permalink]

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09 Oct 2017, 16:42
Bunuel wrote:
If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?

A. ZY - V
B. Z/V – 3 - Y
C. Z/3 – V - Y
D. 3V - Z - Y
E. V - Z – Y

We can let the remaining number = X; thus:

(X + Z + Y)/3 = V

X + Z + Y = 3V

X = 3V - Z - Y

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Re: If the average of three numbers is V. If one of the numbers is Z and [#permalink]

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10 Oct 2017, 07:49
Let the 3rd number be x.
Average = (x+Y+Z)/3 = V
x+Y+Z = 3V
Hence x = 3V-Y-Z
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Re: If the average of three numbers is V. If one of the numbers is Z and [#permalink]

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10 Oct 2017, 09:07
We can define average of some numbers
to be the sum of the numbers divided by a number.

Let the third number be X.

$$V = \frac{Z+Y+X}{3}$$
X = 3V - Z - Y(Option D)
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Re: If the average of three numbers is V. If one of the numbers is Z and   [#permalink] 10 Oct 2017, 09:07
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