SSAT Math Question 365: Answer and Explanation
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Question: 365
9. What is the value of the greatest of four consecutive integers is the greatest is three less than one-third of the least?
- A. –9
- B. –6
- C. 0
- D. 6
Correct Answer: B
Explanation:
B
First, set up the four consecutive integers, where x represents the least of the integers: x, x + 1, x + 2, and x + 3. Write an equation for the requirement: (x + 3) = x – 3. Add 3 to both sides and multiply both sides by 3: 3x + 18 = x. Subtract x and 18 from both sides: 2x = –18. Divide both sides by 2: x = –9. As the question asks for the greatest of the integers, add 3 to –9.
Test the answers, starting with choice (C). If 0 is the greatest of the integers, then –3 is the least. Test the requirement: 0 ≠ (–3) – 3. It may not be obvious whether you need a larger or smaller number, so pick a direction. When you test choice (B), the requirement will be satisfied: –6 =
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