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

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Intern
Joined: 09 Feb 2012
Posts: 47
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Kudos [?]: 43 [0], given: 14

In Tom’s favorite game he has a certain average for the [#permalink]

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27 Feb 2012, 11:31
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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?

[Reveal] Spoiler:
65!

P.S. No answer choices were given
Manager
Joined: 22 Feb 2012
Posts: 93
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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Kudos [?]: 23 [0], given: 25

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27 Feb 2012, 12:35
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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Joined: 02 Sep 2009
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Kudos [?]: 90114 [0], given: 10417

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27 Feb 2012, 12:43
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?

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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Intern
Joined: 09 Feb 2012
Posts: 47
Followers: 0

Kudos [?]: 43 [0], given: 14

Re: In Tom’s favorite game he has a certain average for the [#permalink]

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27 Feb 2012, 13:42
Re: In Tom’s favorite game he has a certain average for the   [#permalink] 27 Feb 2012, 13:42
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