Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.
A. 20
B. 27
C. 36
D. 45
E. 46
Let x = the smallest (odd) integer. The next consecutive odd integer is x + 2, and the two consecutive odd integers after that are x + 4 and x + 6. We can create the equation:
(x + x + 2 + x + 4 + x + 6)/4 = 24
4x + 12 = 96
4x = 84
x = 21, so the largest integer is 27.
Alternate Solution:
By looking at the answer choices, we can reject choices A, C and E since they are not odd. We can also reject choice D since, if the largest number is 45, the average could never be 24. So the only correct answer is choice B (27) and it’s reasonable since 27 is close to the average (24).
Answer: B
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