The problem states that a set of 3 consecutive integers sums to 87. We need to find the value of the greatest integer.

1. Problem Description

The problem states that a set of 3 consecutive integers sums to

8

7. We need to find the value of the greatest integer.

2. Solution Steps

Let the three consecutive integers be $x$, $x+1$, and $x+2$.

The sum of these integers is $x + (x+1) + (x+2) = 87$.

Combining like terms, we get $3x + 3 = 87$.

Subtracting 3 from both sides, we have $3x = 87 - 3$, so $3x = 84$.

Dividing both sides by 3, we get $x = \frac{84}{3} = 28$.

The three consecutive integers are 28, 29, and

3

0. The greatest integer is $x+2 = 28 + 2 = 30$.

3. Final Answer

30