WAEC Mathematics 2024 Question 27

Question 27

Number Bases

The number 1621 was subtracted from 6244 in base x. If the result was 4323, find x.

  1. A.Seven
  2. B.Eight
  3. C.Nine
  4. D.Ten
Show the answer and explanation

Answer: A (Seven)

Explanation

Check by adding 4323 + 1621 = 6244: in the tens column 2 + 2 = 4, but in the hundreds column 3 + 6 = 9 must give 2 carry 1, so x = 9 − 2 = 7.