If \(|a - b| = 6\) and \(|b - c| = 15,\) then what is the value of \(|c|?\)

[Vincen]

If \(|a - b| = 6\) and \(|b - c| = 15,\) then what is the value of \(|c|?\)

(1) \(|a - c| = 9\)
(2) \(|b| = 9\)

Answer: E

Source: EMPOWERgmat