Answer:
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:
[tex]k + (k + 2) + (k + 4) = 75[/tex]
Solve for k. Combine like terms:
[tex]3k + 6 = 75[/tex]
Subtract:
[tex]3k = 69[/tex]
And divide:
[tex]k = 23[/tex]
Therefore, the first number is 23.
In conclusion, the three consecutive, odd integers are 23, 25, and 27.
