Question

1. the sum of 3 consecutive integers is 96. what are the 3 integers? skills review & practice * a06

Explanation:

Step1: Let the first integer be $x$.

The next two consecutive integers are $x + 1$ and $x+2$.

Step2: Set up the equation.

The sum of the three consecutive integers is $x+(x + 1)+(x+2)=96$.
Simplify the left - hand side: $3x+3 = 96$.

Step3: Solve for $x$.

Subtract 3 from both sides of the equation: $3x=96 - 3=93$.
Then divide both sides by 3: $x=\frac{93}{3}=31$.

Step4: Find the other two integers.

The second integer is $x + 1=31+1 = 32$.
The third integer is $x+2=31 + 2=33$.

Answer:

31, 32, 33