The problem states that there are 4 consecutive integers that sum to 294. We are asked to find these integers.

1. Problem Description

The problem states that there are 4 consecutive integers that sum to

2

9

4. We are asked to find these integers.

2. Solution Steps

Let $n$ be the first integer. Then the next three consecutive integers are $n+1$, $n+2$, and $n+3$. The sum of these four integers is

2

9

4. So we can write the equation:

$n + (n+1) + (n+2) + (n+3) = 294$

Combining like terms, we have:

$4n + 6 = 294$

Subtracting 6 from both sides gives:

$4n = 294 - 6$

$4n = 288$

Dividing both sides by 4 gives:

$n = \frac{288}{4}$

$n = 72$

The four consecutive integers are:

$n = 72$

$n+1 = 72+1 = 73$

$n+2 = 72+2 = 74$

$n+3 = 72+3 = 75$

3. Final Answer

The four consecutive integers are 72, 73, 74, and 75.