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# If Jill's average score for three games of bowling was 168, what was

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Joined: 14 Sep 2017
Posts: 34
Location: Italy
If Jill's average score for three games of bowling was 168, what was [#permalink]

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18 Oct 2017, 14:18
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Difficulty:

45% (medium)

Question Stats:

74% (00:26) correct 26% (00:47) wrong based on 23 sessions

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If Jill's average score for three games of bowling was 168, what was her lowest score?

(1) Jill's highest score was 204
(2) The sum of Jill's two highest scores was 364
[Reveal] Spoiler: OA
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Joined: 25 Feb 2013
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Re: If Jill's average score for three games of bowling was 168, what was [#permalink]

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18 Oct 2017, 20:41
Fedemaravilla wrote:
If Jill's average score for three games of bowling was 168, what was her lowest score?

(1) Jill's highest score was 204
(2) The sum of Jill's two highest scores was 364

Let Jill's 3 scores be $$a$$, $$b$$ & $$c$$ where $$a≤b≤c$$

Given sum of scores $$= a+b+c=168*3$$

so the lowest score, $$a=504-b-c$$

Statement 1: implies that $$c=204$$ so $$a=300-b$$

if $$b=200$$, $$a=100$$ and if $$b=150$$, $$a=150$$. Hence we don't have a unique value. Insufficient

Statement 2: implies $$b+c=364$$, so $$a=504-364$$. Sufficient

Option B
Re: If Jill's average score for three games of bowling was 168, what was   [#permalink] 18 Oct 2017, 20:41
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