Question

1. the sum of three consecutive integers is 48. if n is the smallest integer, which equation can be used to represent this situation?

〇 3n + 3 = 48
〇 3n + 6 = 48
〇 n + 3 = 48
〇 3n = 48

Explanation:

Step1: Define consecutive integers

Let the smallest integer be $n$. The next two consecutive integers are $n+1$ and $n+2$.

Step2: Set up sum equation

Sum the three integers and equate to 48:
$$n + (n+1) + (n+2) = 48$$

Step3: Simplify the equation

Combine like terms:
$$3n + 3 = 48$$

Answer:

$\boldsymbol{3n + 3 = 48}$ (the first option)