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WAEC Mathematics 1999 Question 35

Question 35

Number Bases

Two numbers 24 and 31 are equal in value when converted to base ten. Find the equation connecting x and y.

  1. A.2x = 3(y − 1)
  2. B.4x − y = 1
  3. C.3y + 2x = 3
  4. D.3y = 2(x + 3).
Show the answer and explanation

Answer: A (2x = 3(y − 1))

Explanation

24x = 2x + 4 and 31y = 3y + 1. Setting them equal: 2x = 3y − 3 = 3(y − 1).