This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Another one master — let's solve it. 24. The sum of three consecutive even numbers is 54. If the middle number is m: a) Find the value of m. Step 1: Represent the three consecutive even numbers. If the middle even number is m, then the even number before it is m-2, and the even number after it is m+2. The three consecutive even numbers are m-2, m, and m+2. Step 2: Set up the equation based on the given sum. The sum of these three numbers is 54. (m-2) + m + (m+2) = 54 Step 3: Solve the equation for m. Combine the terms on the left side: m + m + m - 2 + 2 = 54 3m = 54 Divide both sides by 3: m = (54)/(3) m = 18 The value of m is 18. b) Calculate the total number of guests who attended the party. This part of the question cannot be answered as the necessary information about the party and guests is not provided in the image. What's next?