M7MBA wrote:If x and y are integers greater than 1 and x>y, what is the value of x?
1) x+y=10
2) xy=21
Target question: What is the value of x?
Given: x and y are integers greater than 1 and x > y
Statement 1: x+y=10
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 9 and y = 1. In this case,
the answer to the target question is x = 9
Case b: x = 8 and y = 2. In this case,
the answer to the target question is x = 8
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: xy=21
Since x and y are INTEGERS
greater than 1 AND x > y, we can see that it MUST be the case that
x = 7 and y = 3
Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
