If a, b, and c are integers, what is the value of a?

[BTGModeratorVI]

If a, b, and c are integers, what is the value of a?

(1) (a - 7)(b - 7)(c - 7) = 0
(2) bc = 18

Answer: C
Source: GMATPrep

[swerve]

If a, b, and c are integers, what is the value of a?

(1) (a - 7)(b - 7)(c - 7) = 0
(2) bc = 18

Answer: C
Source: GMATPrep

(1) \((a-7)(b-7)(c-7) = 0\)

\(3\) variables, \(1\) equation. Insufficient \(\Large{\color{red}\chi}\)

2) \(bc=18\)

\(2\) variables, \(1\) equation. Insufficient \(\Large{\color{red}\chi}\)

Combined: 1 & 2

\(3\) variables, \(2\) equations, and you could substitute \(bc\) and be left with \(a\). Sufficient \(\Large{\color{green}\checkmark}\)

Therefore, the correct answer is C