The sum of three consecutive odd integers is less than 100. What are the greatest possible values of these integers.

Answer:

31, 33, and 35

Step-by-step explanation:

31, 33, and 35 are consecutive odd integers and they add up to 99. So there isn't any other three consecutive odd intergers add up to greater than 99 and less than 100.

Final answer:

To find the greatest possible values of three consecutive odd integers whose sum is less than 100, we can set up an equation and solve it for the variable representing the largest odd integer.

Explanation:

To find the greatest possible values of three consecutive odd integers whose sum is less than 100, we can start by considering the largest odd integer that is less than 100, which is 99. Let's represent this as x.

The next two consecutive odd integers would be (x+2) and (x+4). The sum of these three integers can now be expressed as:

x + (x+2) + (x+4) = 3x + 6

Since the sum must be less than 100, we can set up the following inequality:

3x + 6 < 100

Solving this inequality, we get:

3x < 94

x < 31.333

Therefore, the greatest possible value for x would be 31. This means the three consecutive odd integers would be 31, 33, and 35.

Learn more about Consecutive odd integers here:

brainly.com/question/4249096

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