Problem

The sum of three consecutive even integers is 54. Find the integers.

Solution

Step 1 :Let's denote the smallest of these integers as x. Because the integers are consecutive and even, the next two integers can be represented as x+2 and x+4.

Step 2 :The sum of these three integers is given as 54. Therefore, we can set up the equation \(x + (x+2) + (x+4) = 54\).

Step 3 :Solving this equation will give us the value of x, and consequently, the three integers.

Step 4 :The solution to the equation is \(x = 16\). Therefore, the three consecutive even integers are 16, 18, and 20.

Step 5 :Final Answer: The three consecutive even integers are \(\boxed{16}\), \(\boxed{18}\), and \(\boxed{20}\).

From Solvely APP
Source: https://solvelyapp.com/problems/23111/

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