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24 Apr 2026, 14:24
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (02:36) correct
38%
(03:22)
wrong
based on 66
sessions
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Jonah adds the greatest of three numbers to the average of the other two and divides the sum by two. If the result is x more than the average of the three numbers, what is the difference between the greatest of the three numbers and the average of the other two?
A. x
B. 2x
C. 3x
D. 4x
E. 6x
A. x
B. 2x
C. 3x
D. 4x
E. 6x
26 Apr 2026, 18:02
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Jonah adds the greatest of three numbers to the average of the other two and divides the sum by two. If the result is x more than the average of the three numbers, what is the difference between the greatest of the three numbers and the average of the other two?
This is a good example of a question we can answer using smart numbers because the answer for any set of three numbers such that one of them is greater than the other two will work for all such sets of numbers.
Pick smart numbers:
6, 6, 12
These numbers are all divisible by both 2 and 3. So, the average of any two or all three of them will be an integer value.
Use the numbers to do what the stem says:
adds the greatest of three numbers to the average of the other two and divides the sum by two
(12 + 6)/2 = 9
the result is x more than the average of the three numbers
x = 9 - 24/3 = 9 - 8 = 1
Answer the question asked:
what is the difference between the greatest of the three numbers and the average of the other two?
12 - 6 = 6 = 6x
A. x
B. 2x
C. 3x
D. 4x
E. 6x
Correct answer: E
This is a good example of a question we can answer using smart numbers because the answer for any set of three numbers such that one of them is greater than the other two will work for all such sets of numbers.
Pick smart numbers:
6, 6, 12
These numbers are all divisible by both 2 and 3. So, the average of any two or all three of them will be an integer value.
Use the numbers to do what the stem says:
adds the greatest of three numbers to the average of the other two and divides the sum by two
(12 + 6)/2 = 9
the result is x more than the average of the three numbers
x = 9 - 24/3 = 9 - 8 = 1
Answer the question asked:
what is the difference between the greatest of the three numbers and the average of the other two?
12 - 6 = 6 = 6x
A. x
B. 2x
C. 3x
D. 4x
E. 6x
Correct answer: E
26 Apr 2026, 23:49
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