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Is the average (arithmetic mean) of a and b greater than 30?

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Is the average (arithmetic mean) of a and b greater than 30? [#permalink]

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New post 03 Jan 2018, 20:14
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74% (01:10) correct 26% (00:37) wrong based on 26 sessions

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Is the average (arithmetic mean) of a and b greater than 30? [#permalink]

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New post 04 Jan 2018, 10:07
Bunuel wrote:
Is the average (arithmetic mean) of a and b greater than 30?

(1) b – a = 35
(2) a is greater than 20.


Is \(\frac{a+b}{2}>30=> a+b>60\) ?

Statement 1: \(b-a=35\). Add \(2a\) to both sides

so \(a+b=35+2a\). But we don't know the value of \(a\). Insufficient

Statement 2: \(a>20\). Nothing mentioned about \(b\). Insufficient

Combining 1 & 2: \(a>20 =>2a>40\). Add \(35\) to both sides

\(2a+35>40+35 => a+b>75\). Sufficient

Option C
Is the average (arithmetic mean) of a and b greater than 30?   [#permalink] 04 Jan 2018, 10:07
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Is the average (arithmetic mean) of a and b greater than 30?

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