Lolaergasheva wrote:
If x + y is not equal to 0. What is the value of (ax + ay)/(x + y)?
(1) x = 4 and y = 5
(2) a = 6
Target question: What is the value of (ax + ay)/(x + y)?This is a good candidate for
rephrasing the target question.
Take the expression:
(ax + ay)/(x + y)Factor the numerator to get:
a(x + y)/(x + y)Simplify the fraction to get:
aSince
(ax + ay)/(x + y) =
a, we can rephrase the target question...
REPHRASED target question: What is the value of a?Aside: the video below has tips on rephrasing the target questionNow that we've REPHRASED the target question, it should be easy to analyze the two statements.
Statement 1: x = 4 and y = 5 Since we have no information about a, we cannot answer the
REPHRASED target question with certainty.
So, statement 1 is NOT SUFFICIENT
Statement 2: a = 6PERFECT - this is exactly what we need.
Since we can answer the
REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: B
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