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WAEC Mathematics 2025 Theory — Question 2

Question 2 of 19 from the West African Examinations Council (WAEC) Mathematics 2025 Theory paper, with the correct answer and a full explanation.

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2. The product of the ages of Adu and Tanko is 9 less than Akorfa's age. If Tanko is 4 years older than Adu and Akorfa's age is six times Tanko's age, find Akorfa's age.

Model answer

Let Adu's age = x Tanko = x + 4 Akorfa = 6(x + 4) x(x+4) = 6(x+4) − 9 x² + 4x = 6x + 24 − 9 x² − 2x − 15 = 0 (x+3)(x−5) = 0 → x = 5 Akorfa = 6(5+4) = 54 years

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