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JAMB Mathematics 2006 Question 18

Question 18

Ratio, Percentages and Rates

If m : n = 13 : 11, find m2 − n2 : (m + n)2.

  1. A.1 : 11
  2. B.1 : 13
  3. C.1 : 10
  4. D.1 : 12
Show the answer and explanation

Answer: D (1 : 12)

Explanation

Take m = 13, n = 11: m2 − n2 = 48 and (m + n)2 = 576. 48 : 576 = 1 : 12.