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
Welcome back Miracle — been a while! Let's pick up where you left off. Step 1: Define variables and set up equations based on the given information. Let J be James's current age and B be his brother's current age. From the first statement, "James is three times as old as his brother": J = 3B (1) From the second statement, "In 5 years time, their total age will be 44 years": In 5 years, James's age will be J+5 and his brother's age will be B+5. (J+5) + (B+5) = 44 (2) Step 2: Simplify Equation (2). J + B + 10 = 44 Subtract 10 from both sides: J + B = 34 (3) Step 3: Substitute Equation (1) into Equation (3). Substitute 3B for J in Equation (3): 3B + B = 34 4B = 34 Step 4: Solve for B. Divide by 4: B = (34)/(4) B = (17)/(2) B = 8.5 So, the brother's current age is 8.5 years. Step 5: Solve for J using Equation (1). Substitute the value of B into Equation (1): J = 3B J = 3 × 8.5 J = 25.5 James's current age is 25.5 years. The question asks for James's age now. James's current age is 25.5 years. Send me the next one 📸