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JAMB Mathematics 2018 Question 1

Question 1

Number Bases

Find x and y respectively in the subtraction above:
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

The numbers are in base 5. In the fives column you must borrow: (5 + 3) − x = 4 gives x = 4, and in the last column 3 − 1 = y gives y = 2.