WAEC Mathematics 2016 Question 1

Question 1

Number Bases

If 23x + 101x = 130x, find the value of x.

  1. A.7
  2. B.6
  3. C.5
  4. D.4
Show the answer and explanation

Answer: D (4)

Explanation

In base ten: (2x + 3) + (x² + 1) = x² + 3x, so 2x + 4 = 3x and x = 4.