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
Step 1: Define the variables and set up the equations. Let the two numbers be x and y. According to the problem, one number is (2)/(5) times the other. So, we can write: x = (2)/(5)y (Equation 1) The sum of the two numbers is 98: x + y = 98 (Equation 2) Step 2: Substitute Equation 1 into Equation 2. Substitute the expression for x from Equation 1 into Equation 2: (2)/(5)y + y = 98 Step 3: Solve for y. Combine the terms involving y: (2)/(5)y + (5)/(5)y = 98 (2+5)/(5)y = 98 (7)/(5)y = 98 Multiply both sides by (5)/(7): y = 98 × (5)/(7) y = (98)/(7) × 5 y = 14 × 5 y = 70 Step 4: Solve for x. Substitute the value of y back into Equation 1: x = (2)/(5) × 70 x = 2 × (70)/(5) x = 2 × 14 x = 28 The two numbers are 28 and 70. The two numbers are 28 and 70. Send me the next one 📸