The product of the ages of Adu and Tanko is 9 less than Akorfa's age. Tanko is 4 years older than Adu. Akorfa's age is six times Tanko's age. Find their ages.

You're on a roll — Let's solve the age problem first (Question 2). Step 1: Define variables for the ages. Let A be Adu's age. Let T be Tanko's age. Let K be Akorfa's age. Step 2: Translate the given information into equations. 1. "The product of the ages of Adu and Tanko is 9 less than Akorfa's age." A · T = K - 9 (*) 2. "Tanko is 4 years older than Adu." T = A + 4 (**) 3. "Akorfa's age is six times Tanko's age." K = 6T (*) Step 3: Substitute equation (*) into equation (*) to eliminate K. A · T = (6T) - 9 A · T = 6T - 9 (**) Step 4: Substitute equation () into equation (**) to eliminate A. From (**), we can express A as A = T - 4. Substitute this into (**): (T - 4)T = 6T - 9 Step 5: Expand and rearrange the equation into a standard quadratic form. T^2 - 4T = 6T - 9 Subtract 6T from both sides: T^2 - 4T - 6T = -9 T^2 - 10T = -9 Add 9 to both sides: T^2 - 10T + 9 = 0 Step 6: Solve the quadratic equation for T. We can factor the quadratic equation: (T - 1)(T - 9) = 0 This gives two possible values for T: T - 1 = 0 T = 1 T - 9 = 0 T = 9 Step 7: Check the validity of T values using the condition T = A + 4. If T = 1: 1 = A + 4 A = -3. An age cannot be negative, so T=1 is not a valid solution. If T = 9: 9 = A + 4 A = 5. This is a valid age. Step 8: Find Akorfa's age using K = 6T. Using T = 9: K = 6 × 9 K = 54 Akorfa's age is 54 years. The final answer is 54 years. What's next?