SSAT Math Question 275: Answer and Explanation
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Question: 275
9. What is the value of the least of five consecutive integers if the least minus twice the greatest equals –10?
- A. –3
- B. –2
- C. 2
- D. 6
Correct Answer: C
Explanation:
The answer is C
First, set up the five consecutive integers, where x represents the least of the integers: x, x + 1, x + 2, x + 3, and x + 4. Write an equation for the requirement: x - 2(x + 4) = -10. Distribute the -2: x - 2x - 8 = -10. Combine like terms and add 8 to both sides: -x = -2. Multiply both sides by -1: x = 2.
Test the answers, starting with choice (C). If 2 is the least of the integers, then 6 is the greatest. Test the requirement: 2 - (2)(6) = 2 - 12 = 10.