SSAT Math Question 327: Answer and Explanation
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Question: 327
6. If the average of five consecutive whole numbers is 21, what is the greatest number?
- A. 11
- B. 19
- C. 23
- D. 26
Correct Answer: C
Explanation:
The answer is C
Let x represent the lowest number, and set up the average equation for the five tests: = 21. Combine like terms in the numerator, and multiply both sides by 5: 5x + 10 = 105. Subtract 10 from both sides, and divide both sides by 5: x = 19. As the question asks for the greatest number, add 4 to 19.
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 21, and fill in the next two higher numbers with 22 and 23.