The sum of three consecutive numbers is 21. What are the three numbers? write an equation and solve inverse operations.
Question
The sum of three consecutive numbers is 21. What are the three numbers? Write an equation and solve using inverse operations.
Solution
Let's denote the three consecutive numbers as x, x+1, and x+2.
Step 1: Write the equation The problem states that the sum of these three numbers is 21. So, we can write the equation as follows: x + (x+1) + (x+2) = 21
Step 2: Simplify the equation Combine like terms on the left side of the equation: 3x + 3 = 21
Step 3: Solve the equation using inverse operations Subtract 3 from both sides of the equation: 3x = 21 - 3 3x = 18
Then, divide both sides of the equation by 3 to solve for x: x = 18 / 3 x = 6
So, the three consecutive numbers are 6, 7, and 8.
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