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The sum of three consecutive odd integers is 219. What are the three integers?

A. 71, 73, 75
B. 71, 75, 79
C. 71, 74, 77
D. 71, 72, 73

Answer :

Final answer:

The three consecutive odd integers that add up to 219 are 71, 73, and 75.

Explanation:

The sum of three consecutive odd integers is 219. Let's solve for the integers. If x, x+2, x+4 are three consecutive odd integers, the equation would be x + (x+2) + (x+4) = 219.

First, we simplify the left side of the equation to 3x + 6 = 219. Then we isolate 3x by subtracting 6 from both sides resulting in 3x = 213. Next, we divide both sides by 3 and get x = 71.

So the three odd integers are 71, 73, and 75. Therefore, the answer is option a. 71, 73, 75.

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