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JAMB Mathematics 1999 Question 11

Question 11

Linear and Simultaneous Equations

The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers.

  1. A.P/2
  2. B.3P/2
  3. C.5P/2
  4. D.3P
Show the answer and explanation

Answer: B (3P/2)

Explanation

Let the numbers be x > y. x + y = 2(x − y) gives x = 3y. With x − y = P, 2y = P so y = P/2 and x = 3P/2.