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# Gina and Tina's average grade is 23 points higher than Tina's grade.

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Math Expert
Joined: 02 Sep 2009
Posts: 59561

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12 Jul 2016, 04:37
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Difficulty:

5% (low)

Question Stats:

88% (01:05) correct 13% (01:36) wrong based on 61 sessions

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Gina and Tina's average grade is 23 points higher than Tina's grade. What is the difference between their grades?

A. 46.
B. 23.
C. 16.
D. 15.
E. 11.5.
Retired Moderator
Joined: 26 Nov 2012
Posts: 554

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12 Jul 2016, 05:27
Bunuel wrote:
Gina and Tina's average grade is 23 points higher than Tina's grade. What is the difference between their grades?

A. 46.
B. 23.
C. 16.
D. 15.
E. 11.5.

Given: Gina and Tina's average grade is 23 points higher than Tina's grade

Then we can write it ( G + T ) / 2 = 23 + T.

=> ( G + T ) = 46 + 2T.

G - T = 46.

IMO A is correct option.

OA please....will correct if I missed anything.
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Joined: 12 Aug 2015
Posts: 2548
Schools: Boston U '20 (M)
GRE 1: Q169 V154

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10 Dec 2016, 10:36
As per the Question ->
G+T=2(T+23)
Hence T-G=46
Hence A

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Target Test Prep Representative
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Joined: 04 Mar 2011
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26 Feb 2018, 11:00
Bunuel wrote:
Gina and Tina's average grade is 23 points higher than Tina's grade. What is the difference between their grades?

A. 46.
B. 23.
C. 16.
D. 15.
E. 11.5.

We can let Gina and Tina’s average grade = (g + t)/2. Since Gina and Tina's average grade is 23 points higher than Tina's grade:

(g + t)/2 = 23 + t

g + t = 46 + 2t

g = 46 + t

g - t = 46

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Re: Gina and Tina's average grade is 23 points higher than Tina's grade.   [#permalink] 26 Feb 2018, 11:00
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