Answer:
Consecutive odd integers are 19 , 21 & 23
Step-by-step explanation:
Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).
According to the question,
[tex]2x + 3(x + 2) = 2(x + 4) + 55[/tex]
[tex] = > 2x + 3x + 6 = 2x + 8 + 55[/tex]
Eliminating 2x from both the sides,
[tex] = > 3x + 6 = 63[/tex]
[tex] = > 3x = 63 - 6 = 57[/tex]
[tex] = > x = \frac{57}{3} = 19[/tex]
So, the consecutive odd integers are = 19 , 21 & 23.
