Consecutive Integers

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Consecutive Integers

by joyseychow » Mon Jan 25, 2010 7:38 pm
x, y, and z are consecutive integers, and x < y < z. What is the average of x, y, and z?

(1) x = 11

(2) The average of y and z is 12.5.


[spoiler]Can we considered prime numbers as an option of consecutive integers? Also, how can stmt2 be sufficient?

OA is D[/spoiler]
Source: — Data Sufficiency |

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by fibbonnaci » Mon Jan 25, 2010 9:32 pm
consecutive integers are integers that occur one after another. eg. 2,3, 4 are consecutive integers.
here they say x, y and z are consecutive integers.

i) x= 11 implies y= 12 and z= 13.

average = (11+12+13)/3.

sufficient

ii) y+z/2 = 12.5

y+z = 25

the only consecutive numbers whose sum results in 25 are 12 and 13.
so y= 12
z= 13
x= 11

again the average can be found out.

Sufficient.

therefor and is D

Hope this helps!