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UI Post-UTME Mathematics 2018 (Model questions) Question 44

Question 44

Linear and Simultaneous Equations

Five years ago, a mother was twice as old as her son. In 6 years time, the sum of their ages will be 82. Find their present ages

  1. A.30 years, 50 years
  2. B.25years, 45 years
  3. C.20 years, 40 years
  4. D.15 years, 35 years
Show the answer and explanation

Answer: B (25years, 45 years)

Explanation

m − 5 = 2(s − 5) and m + s + 12 = 82 give s = 25 and m = 45.