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UI Post-UTME Mathematics 2018 (Model questions) Question 5

Question 5

Quadratic Equations

The ages of two sisters are 11 and 8 years. In how many years time will the product of their ages be 208?

  1. A.5 years
  2. B.10 years
  3. C.6 years
  4. D.2 years
Show the answer and explanation

Answer: A (5 years)

Explanation

(11 + x)(8 + x) = 208 gives x² + 19x − 120 = 0, (x + 24)(x − 5) = 0, so x = 5.