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QOTD#17 The average IQ of 4 people is 110. If three of these

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QOTD#17 The average IQ of 4 people is 110. If three of these [#permalink] New post 08 Dec 2016, 05:12
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The average IQ of 4 people is 110. If three of these people each have an IQ of 105, what is the IQ of the fourth person ?

Enter the value


[Reveal] Spoiler: OA
125

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1 KUDOS received
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1657 [1] , given: 396

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Re: QOTD#17 The average IQ of 4 people is 110. If three of these [#permalink] New post 08 Dec 2016, 05:18
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Explanation

If the average of four is 110, the total = 4 x 110 = 440
The sum of three with IQ 105 = 315
The fourth person must have IQ = 440 - 315 = 125
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Re: QOTD#17 The average IQ of 4 people is 110. If three of these [#permalink] New post 25 Jan 2017, 12:59
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sandy wrote:
The average IQ of 4 people is 110. If three of these people each have an IQ of 105, what is the IQ of the fourth person ?

Enter the value


[Reveal] Spoiler: OA
125


Given:
105 = IQ of first person
105 = IQ of second person
105 = IQ of third person

Let x = the IQ of the fourth person.

The average IQ of 4 people is 110.
So, (105 + 105 + 105 + x)/4 = 110
Multiply both sides of the equation by 4 to get: 105 + 105 + 105 + x = 440
Simplify: 315 + x = 440
Solve: x = 125

Answer:
[Reveal] Spoiler:
125


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Re: QOTD#17 The average IQ of 4 people is 110. If three of these   [#permalink] 25 Jan 2017, 12:59
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