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UI Post-UTME Mathematics 2018 (Model questions) Question 8

Question 8

Quadratic Equations

The product of two consecutive positive odd numbers is 195. Find the two numbers

  1. A.17 and 13
  2. B.13 and 15
  3. C.13 and 11
  4. D.none of the above
Show the answer and explanation

Answer: B (13 and 15)

Explanation

n(n + 2) = 195 gives n² + 2n − 195 = 0, (n + 15)(n − 13) = 0, so the numbers are 13 and 15.