The problem states that there are 3 consecutive odd integers that sum to 57. We need to find the greatest of these three integers. The analysis result section solves a slightly different problem with the sum equal to 87.

1. Problem Description

The problem states that there are 3 consecutive odd integers that sum to

5

7. We need to find the greatest of these three integers. The analysis result section solves a slightly different problem with the sum equal to

8

7.

2. Solution Steps

Let the three consecutive odd integers be $x$, $x+2$, and $x+4$, where $x$ is an odd integer.

The sum of these three integers is given as

5

7. Therefore, we can write the equation:

$x + (x+2) + (x+4) = 57$

Combine like terms:

$3x + 6 = 57$

Subtract 6 from both sides of the equation:

$3x = 57 - 6$

$3x = 51$

Divide both sides by 3:

$x = \frac{51}{3}$

$x = 17$

The three consecutive odd integers are 17, 19, and

2

1. The greatest of these integers is

2

1.

3. Final Answer

21