SSAT Math Question 257: Answer and Explanation
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Question: 257
1. When A + B = 21 and 3C + B = 21, what is the value of C?
- A. 42
- B. 21
- C. 7
- D. –7
Correct Answer: E
Explanation:
The answer is E
When you have three variables, you need three equations to solve for the variables. As there are only two equations here, it is not possible to solve for C.
Test the answers. For each answer, you can solve for B in the second equation and then use that solution to solve for A in the first equation. As all four numbers yield different As and Bs, the value of C cannot be determined.