The sum of three consecutive odd integers is 75. Find the integers.

23, 25, and 27.

Step-by-step explanation:

Let the first odd integer be k.

Since the three numbers are consecutive odd integers, the second is given by (k + 2) and the third by (k + 4).

Their sum is 75. Hence:

Solve for k. Combine like terms:

Subtract:

And divide:

Therefore, the first number is 23.

In conclusion, the three consecutive, odd integers are 23, 25, and 27.

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