Answer:
33, 35, 37
Step-by-step explanation:
Let the tree consecutive odd integers be x, x +2 and x + 4
According to the given information:
Sum of the first and the third is 70
[tex] \therefore x + x + 4 = 70\\\\
\therefore 2x = 70 - 4\\\\
\therefore 2x = 66\\\\
\therefore x = \frac{66}{2}\\\\
\therefore x = 33\\\\
\implies x + 2 = 33 + 2 = 35\\\\
\& \hspace{25 pt}x + 4 = 33 + 4 = 37\\\\[/tex]
Thus, the three consecutive odd integers are 33, 35 and 37.
Verification: 33 + 37 = 70
