400-600-1123
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Algebra Simu
1.Given that a + b = 8, it follows from (a + b) + c = 12 that 8 + c = 12, or c = 4. However, the value of b still cannot be determined. For example, if a = 6, b = 2, and c = 4, then a + b + c = 12 and a + b = 8. On the other hand, if a = 4, b = 4, and c = 4, then a + b + c = 12 and a + b = 8; NOT sufficient.
2.Given that b + c = 6, it follows from a + (b + c) = 12 that a + 6 = 12, or a =6. However, the value of b still cannot be determined. For example, if a = 6, b = 3, and c = 3, then a + b + c = 12 and b + c = 6. On the other hand, if a = 6, b = 2, and c = 4, then a + b + c = 12 and b + c = 6; NOT sufficient.
Taking (1) and (2) together, it follows from (1) that c = 4 and it follows from (2) that a = 6. Substituting these values in a + b + c = 12 gives 6 + b + 4 = 12, or b = 2.
The correct answer is C;
both statements together are sufficient.
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