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. Let M be the age of the man. Let S be the age of the son. Step 2: Formulate the equations based on the given information. From the first statement, "The difference between the ages of a man and his son is 20": M - S = 20 (1) From the second statement, "the man is 4 times older than his son": M = 4S (2) Step 3: Substitute equation (2) into equation (1). Substitute 4S for M in equation (1): 4S - S = 20 3S = 20 Step 4: Solve for S. Divide both sides by 3: S = (20)/(3) Step 5: Solve for M. Substitute the value of S back into equation (2): M = 4 × (20)/(3) M = (80)/(3) The age of the son is (20)/(3) years, and the age of the man is (80)/(3) years. Son's age = (20)/(3) years, Man's age = (80)/(3) years That's the last one for today! Send me the next one 📸