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Unilorin Post-UTME Mathematics 2015 (Model questions) Question 27

Question 27

Linear and Simultaneous Equations

The sum of the ages of a man and his son is 67 years. Six years ago the man's age exceeded 5 times the age of his son by 1. Find their present ages.

  1. A.Man = 52 years son = 15 years
  2. B.Man = 52 years son = 16 years
  3. C.Man = 55 years son = 10 years
  4. D.Man = 60 years son = 10 years
Show the answer and explanation

Answer: A (Man = 52 years son = 15 years)

Explanation

x + y = 67 and x − 6 = 5(y − 6) + 1 give x − 5y = −23; subtracting, 6y = 90, so y = 15 and x = 52.