Bunuel
Is 20 the average (arithmetic mean) of a, b, and 20 ?
(1) a + b = 40
(2) a – b = 2
PS21266
Target question: Is 20 the average (arithmetic mean) of a, b, and 20 ?This is a good candidate for
rephrasing the target question.
First recognize that we can write:
Does (a + b + 20)/3 = 20 ?Multiply both sides of that equation by 3 to get:
Does a + b + 20 = 60 ?Subtract 20 from both sides to get:
Does a + b = 40 ?REPHRASED target question: Does a + b = 40 ?Aside: the video below has tips on rephrasing the target question Statement 1: a + b = 40 Perfect!!
The answer to the REPHRASED target question is
YES, a + b = 40Since we can answer the
REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: a – b = 2Since we can not use this information to answer the
REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT
If you aren't convinced, check out the following two cases:
Case a: a = 4 and b = 2 (this satisfies the condition that a - b = 2). In this case, the answer to the REPHRASED target question is
NO, a + b does not equal 40Case b: a = 21 and b = 19 (this also satisfies the condition that a - b = 2). In this case, the answer to the REPHRASED target question is
YES, a + b = 40Since we cannot answer the
REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
VIDEO ON REPHRASING THE TARGET QUESTION: