JAMB Mathematics 1999 Question 8

Question 8

Number Bases

If 29 × (Y3)9 = 35 × (Y3)5, find the value of Y.

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

Answer: D (1)

Explanation

In base ten: 2(9Y + 3) = 3(5Y + 3), so 18Y + 6 = 15Y + 9 and Y = 1.