JAMB Mathematics 2004 Question 1

Question 1

Number Bases

Find x and y respectively in the subtraction below carried out in base 5.
4 2 4 3
− 1 3 x 4
= y 3 4 4

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

Answer: C (4, 2)

Explanation

Units: borrow, 8 − 4 = 4. Fives: 3 − x needs a borrow, 8 − x = 4, so x = 4. Twenty-fives: 6 − 3 = 3. Hundred-and-twenty-fives: 4 − 1 − 1 = 2, so y = 2.