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Answer :
Final answer:
Using the hint given, we find that the smallest integer n = 185, and thus the three consecutive odd integers are 185, 187, and 189. The correct answer is A. 183, 185, 187.
Explanation:
To find three consecutive odd integers whose sum is 561, we use the hint provided. If n represents the smallest of the three integers, n+2 and n+4 represent the other two numbers. The equation to find n is:
n + (n + 2) + (n + 4) = 561
Combining like terms, we get:
3n + 6 = 561
Subtracting 6 from both sides:
3n = 555
Dividing both sides by 3:
n = 185
Therefore, the three consecutive odd integers are 185, 187, and 189. So, the correct answer is option A. 183, 185, 187.
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