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UI Post-UTME Mathematics 2019 (Model questions) Question 8

Question 8

Linear and Simultaneous Equations

A father is now three times as old as his son. Twelve years ago, he was six times as old as his son. How old are the son and father?

  1. A.20 and 60
  2. B.30 and 90
  3. C.21 and 63
  4. D.15 and 45
Show the answer and explanation

Answer: A (20 and 60)

Explanation

Father = 3s; 3s − 12 = 6(s − 12) gives 3s = 60, so the son is 20 and the father 60.