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In Tom’s favorite game he has a certain average for the

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Intern
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Joined: 09 Feb 2012
Posts: 47
In Tom’s favorite game he has a certain average for the  [#permalink]

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New post 27 Feb 2012, 12:31
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75% (00:00) correct 25% (02:50) wrong based on 7 sessions

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In Tom’s favorite game he has a certain average for the first 25 rounds. After scoring 140 points in the 26th his average improves by 3 points. What is his new average after the 26th round?

The answer is
65!


P.S. No answer choices were given
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Joined: 22 Feb 2012
Posts: 84
Schools: HBS '16
GMAT 1: 740 Q49 V42
GMAT 2: 670 Q42 V40
GPA: 3.47
WE: Corporate Finance (Aerospace and Defense)
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Re: PS - Averages  [#permalink]

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New post 27 Feb 2012, 13:35
I was able to solve this in a somewhat convoluted way:

I set the Total points for 25 tries to be X

so x/25 +3 = (x +140)/26

Solving for X, X = 1550

Old Avg = 1550/25 = 62
New Avg = 62+3 = 65
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Re: PS - Averages  [#permalink]

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New post 27 Feb 2012, 13:43
NYC5648 wrote:
Hi all,

could someone explain to me how to solve this problem:

In Tom’s favorite game he has a certain average for the first 25 rounds. After scoring 140 points in the 26th his average improves by 3 points. What is his new average after the 26th round?

The answer is 65!

Many thanks and good luck to all of you!

P.S. No answer choices were given


Step by step solution:

Let Tom's average for the first 25 rounds be x, then the sum of the points will be 25x. After scoring 140 the new sum will be 25x+140 and the new average will be (25x+140)/26, which is given to equal to x+3: (25x+140)/26=x+3 --> x=62 --> x+3=65.
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Re: In Tom’s favorite game he has a certain average for the  [#permalink]

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New post 27 Feb 2012, 14:42
I got it. Many thanks for your helpful solution.
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Re: In Tom’s favorite game he has a certain average for the   [#permalink] 27 Feb 2012, 14:42
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