If

[BTGmoderatorDC]

If |12x − 3| = |3x + 15|, what is the value of x?

(1) x > 0
(2) x is an integer


OA D

Source: Veritas Prep

[Brent@GMATPrepNow]

If |12x − 3| = |3x + 15|, what is the value of x?

(1) x > 0
(2) x is an integer


OA D

Source: Veritas Prep

So, EITHER 12x − 3 = 3x + 15 OR 12x − 3 = -(3x + 15)
If 12x − 3 = 3x + 15, then we can solve the equation to get x = 2
If 12x − 3 = -(3x + 15), then we can solve the equation to get x = -0.8

Target question: What is the value of x?

Statement 1: x > 0
Since x equals either either x = 2 or x = -0.8, we can be certain that x = 2
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x is an integer
Since x equals either either x = 2 or x = -0.8, we can be certain that x = 2
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D