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UI Post-UTME Mathematics 2018 (Model questions) Question 42

Question 42

Linear and Simultaneous Equations

In an examination; Adenike obtained 19 marks more than Musa. If Adenike had obtained one and a half times her own mark, she would have scored 6 marks more than twice Musa's mark. Find the marks scored by each. Representing Musa with M and Adenike with A.

  1. A.M = 45, A = 54
  2. B.M = 45, A = 64
  3. C.M = 64, A = 45
  4. D.M = 60, A = 50
Show the answer and explanation

Answer: B (M = 45, A = 64)

Explanation

1.5(M + 19) = 2M + 6 gives 0.5M = 22.5, M = 45 and A = 64.