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The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathematics and Chemistry together.

Correct answer: A. 40

  • A. 40
  • B. 30
  • C. 25
  • D. Data inadequate

Explanation

Let the Physics marks be P and the Chemistry marks be P + 20 marks. Since Mathematics marks plus Physics marks equal 60 marks, Mathematics plus Chemistry equals 60 + 20 = 80 marks, so their average is 80 marks / 2 = 40 marks. A student may choose 30 marks by averaging the given total of 60 marks without accounting for the 20-mark difference.

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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.

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