# Three consecutive integers add up to 24. What are they?

Jul 14, 2016

$7$, $8$, and $9$

#### Explanation:

Integer 1: $n$
Integer 2: $n + 1$
Integer 3: $n + 2$

I added $1$ or $2$ to $n$ because we don't know what number is after $n$, but we do know that they are consecutive.

Let's add these three integers and let them equal $24$.

$n + \left(n + 1\right) + \left(n + 2\right) = 24$

Solve for $n$.

$3 n + 3 = 24$

$3 n = 21$

$n = 7$

We found that $n$ is equal to $7$. We can simply add $1$ to find the next integer and add $2$ to find the third integer. The three integers are $7$, $8$, and $9$.