Is \(x\) less than \(20?\)

[M7MBA]

Is \(x\) less than \(20?\)

(1) The sum of \(x\) and \(y\) is less than \(20.\)
(2) \(y\) is less than \(20.\)

Answer: E

Source: GMAT Prep

[Brent@GMATPrepNow]

Is \(x\) less than \(20?\)

(1) The sum of \(x\) and \(y\) is less than \(20.\)
(2) \(y\) is less than \(20.\)

Answer: E

Source: GMAT Prep

Target question: Is x less than 20?

When I scan the two statements, I can quickly see that neither statement alone is sufficient.
So let's jump straight to....
.
.
.

Statements 1 and 2 combined
There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: x = 5 and y = 5. In this case, the answer to the target question is YES, x is less than 20
Case b: x = 30 and y = -30. In this case, the answer to the target question is NO, x is not less than 20
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent