SSAT Math Question 338: Answer and Explanation
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Question: 338
7. If the average of five consecutive whole numbers is 30, what is the smallest number?
- A. 20
- B. 25
- C. 28
- D. 30
Correct Answer: C
Explanation:
The answer is C
Let x represent the lowest number, and set up the average equation for the five tests: = 30. Combine like terms in the numerator, and multiply both sides by 5: 5x + 10 = 150. Subtract 10 from both sides, and divide both sides by 5: x = 28. As the question asks for the lowest number, the answer is 28.
The average of five consecutive numbers will be the median of the five numbers: draw five blanks for the five numbers, fill the middle spot with 30, and fill in the next two lower numbers with 29 and 28.