Q. There are 3 consecutive integers that sum to 6. Which integers are they?_, _, _
Define Integers: Let x be the first integer. The three consecutive integers can be represented as x, x+1, and x+2.
Set Up Equation: Set up the equation to represent the sum of the three consecutive integers equal to 6: x+(x+1)+(x+2)=6.
Simplify Equation: Simplify the equation: x+x+1+x+2=6 which becomes 3x+3=6.
Isolate Variable: Isolate the variable term by subtracting 3 from both sides of the equation: 3x+3−3=6−3 which simplifies to 3x=3.
Divide and Solve: Divide both sides of the equation by 3 to solve for x: 33x=33 which results in x=1.
Identify Integers: Now that we have x=1, the three consecutive integers are x, x+1, and x+2, which are 1, 1+1, and 1+2. Therefore, the integers are 1, 2, and 3.