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
Let the ages of the three men be 3x, 4x, and 5x, where x is a common multiplier. Step 1: Identify the oldest and youngest ages. The oldest age is 5x. The youngest age is 3x. Step 2: Set up an equation based on the given difference. The difference between the oldest and youngest age is 18 years. 5x - 3x = 18 Step 3: Solve for x. 2x = 18 x = (18)/(2) x = 9 Step 4: Calculate the individual ages of the men. First man's age: 3x = 3 × 9 = 27 years Second man's age: 4x = 4 × 9 = 36 years Third man's age: 5x = 5 × 9 = 45 years Step 5: Find the sum of their ages. Sum of ages = 27 + 36 + 45 Sum of ages = 63 + 45 Sum of ages = 108 years The sum of their ages is 108 years. Drop the next question.