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average of x and |y|

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Source: — Data Sufficiency |

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by Anurag@Gurome » Sat Jun 23, 2012 9:50 pm
alex.gellatly wrote:What is the average of x and |y| ?

(1) x + y = 20
(2) |x + y| = 20
Consider the following two examples,
  • # x = 14 and y = 6 --> (x + |y|)/2 = 10
    # x = 24 and y = -4 --> (x + |y|)/2 = 14
Both of the above examples satisfy both the statements but average of x and |y| is different in both cases. Hence, both statements together is not sufficient.

The correct answer is E.
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